DEPARTMENT OF MATHEMATICS AND RESEARCH CENTRE

The Department of Mathematics was recognized as a research Centre by Manonmaniam Sundaranar University, Tirunelveli in 2004. Dr. S. Pasunkilipandian, Associate Professor of Mathematics is serving as the Head of the research centre from 2017 onwards. At present four faculty members namely Dr. S. Pasunkilipandian, Dr. S. Nithyanantha Jothi, Dr. M. J. Jeyanthi and K. Bageerathi are approved as Ph.D., supervisors by Manonmaniam Sundaranar University, Tirunelveli.  So far 40 research scholars have completed their Ph.D., in our research centre. At present two full-time scholars and five part-time scholars are pursuing Ph.D degree in the field of Topology and Analysis.

Objectives of the Research Centre:

  • To stimulate academic environment through the way of promoting quality research.
  • To compete with standard of the national and international community.
  • To give a concrete solutions to the social and economic problems of our country.
  • To find the solutions of the real life problems through mathematics.
  • To create awareness of the latest development in the field of mathematics

Features Available in the Research Centre :

(a)Space for Research Scholars 
 –     In the Department30’ 30’
 –     In the Library for reading29’ 14’
  (b)Internet FacilityBSNL 100Mbps
  (c)  Computer facilities with internet access and related softwareTwenty two in the Department with IBM SPSS Statistics 20, TeXstudio (LaTex), IDLE (Python)
(d)Uninterrupted power supplyIn the Department: One 850 VA Uninterrupted Power Supply (UPS) In Lab: One 5.0 KVA Uninterrupted Power Supply (UPS) and One 1.0KVA Uninterrupted Power Supply (UPS) In the College: One 45KVA Uninterrupted Power supply
(e)Water Supply24hrs Purified Tamirabarani River Water

RESEARCH PROJECT:

S. NoName of the FacultyTitle of the ProjectNature of the ProjectFunding AgencyPeriodStatus
1.Dr.K. BageerathiFurther study on generalization of fuzzy boundary using fuzzyC–closure operatorMinor Research ProjectUGC14.03.2014 to 14.03.2016Completed

Details about the Scholars:

Thirty Nine scholars have successfully completed their Ph.D. degree and one scholar has submitted his thesis. 

S.NoName of  the ScholarTitle of the thesisStatus
1M. AnithaGeneralized sets in topologyAwarded Apr2009
2R. MurugesanStudies in Fuzzy topological spacesAwarded Aug2009
3V. JeyanthiSome subsets and functions in ideal topological spacesAwarded May 2009
4P. SivagamiA study on Generalized TopologyAwarded July 2009
5J. Sheiba GraceStudies in Convex AnalysisAwarded            Sep 2010
6D. RamyaA Study on Graph Theory‐ Super Mean Labeling and Related ConceptsAwarded Nov 2010
7G. ThamizharasiStudies in bitopological spacesAwarded 2015
8R. SelviA Study on m‐continuous, pre‐ continuous, p‐continuous, q‐ continuous, ρ‐continuous multifunctions in topologyAwarded Nov 2011
9A. AsokkumarA study on  regularities in hyper ringsAwarded            Dec 2011
10K. BageerathiA study on fuzzy closed sets , fuzzy boundary and functionsAwarded         Mar 2012
11T. Shyla Issac MaryA study on regular pre‐ semiclosed sets in topological spacesAwarded June 2012
12M. J. JeyanthiContribution to Ùr- closed sets, Ùr- separation axioms and Ùr- continuity.Awarded    June  2012
13S. Shyamala MaliniContribution to some Fixed Point Theorems in metric StructuresAwarded           Feb 2013
14P. GnanachandraA Study on  Lower Separation AxiomsAwarded      Mar 2013
15R. Jamuna RaniA Study on the properties of generalized open setsAwarded   April 2013
16S. Nithyanantha JothiContribution to binary topological spacesAwarded       Oct 2013
17R. ManoharanA Study on p-sets, perfect sets in  topology via ideals and related conceptsAwarded      Dec 2013
18G. SuthaFuzzy TopologyAwarded   May 2017
19R. Usha ParameshwariMulti Functions in TopologyAwarded  May 2015
20K. R. ShobaStochastic Modeling in Perishable Inventory SystemAwarded         Mar 2014
21R. SajunthaA Study on subsets, Separation axioms, Covering axioms and functions in ideal topological spacesAwarded        Apr 2014
22K. UmadeviA study on Modeling in TopologyAwarded        Aug 2015
23J. Golden Ebenezer JebamaniA study on Lattice TheoryAwarded      Jan  2016
24N. Durga DeviBitopological SpacesAwarded 2014
25E. Giftin Veda MerlyDecomposition of Facto Graphs and some special GraphsAwarded        Mar 2014
26A. Pramila Inpa RoseA Study on a generalization of Lattices.Awarded      Jan 2020
27V. RamachandranOne modulo N graceful Labeling of GraphsAwarded     Aug 2015
28S. Muthu BalasubramanianA Study on Transitive GraphsAwarded 2014
29T. PremelaDifferent Types of Domination setsAwarded     July 2017
30J. KrishnaveniA Study on Cordial and Prime Cordial Labeling of some GraphsAwarded         Sep 2017
31N. R. SanthiMaheswariA Study on Distance d-regular and neighborly irregular graphsAwarded       Aug 2015
32J. RajakumariA Study on semi- continuous functionsAwarded          Dec 2019
33J. SubhashiniA Study on G- GraphsAwarded       May 2016
34S. ChandrakalaA Study on different prime labeling of GraphsAwardedDec 2018
35T. ThangamA Study on Fuzzy Bitopological spacesAwarded         June 2019
36N. RevathiA Study on New Concept in Soft Bitopological spacesAwarded         Apr 2019
37M. JeyachitraA study on New Concept in Intuitionistic Fuzzy Ideal Topological spacesAwarded       Oct 2020
38S. SaranyaCharacterization of recent concepts in Topological spacesAwarded      Sep 2021
39P. IswaryaStudies on New sets in Topological spacesAwarded      Sep 2023
40A. John sekarA Study on Eigen values of Graphs from Finite GroupsSubmitted  June 2024

III. RESEARCH

Guides & Scholars

S. NoName of the ScholarRegistration Number & DateTitle of the thesisCategory
Dr. S. Nithyanantha Jothi
1A. Abishek Ashish Gnanadev22112022091001 dt 30.05.2022A study on Alpha generalized star semi closed sets in topological spacesPART TIME
2R. Balaji Srinivas22112022091001 dt 25.05.2022A Study on P*p-open sets in Topological spacesFULL TIME
3B. Sorna Praba22112022092004 dt 02.06.2022A study on Binary Teta open sets in Binary Topological spacesPART TIME
4K. Mathivathani22112022091001 dt 15.12.2022A Study on prs open sets in topological spacesPART TIME
K. Bageerathi
5P. Selvan22122022091002 dt 25.05.2022Some extensions of Metric SpacesPART TIME
6K. Japhia Tino Mercy22122022092006 dt 25.05.2022Certain studies of Fuzzy soft topological spacesFULL TIME
7G. Janaki22122022092005 dt 29.05.2022A new class of Closed setd in topologyPART TIME

Publications:

Research papers published byDr. S. Pasunkilipandian

  1. On b# generalised closed sets in Topological spaces, S. Pasunkilipandian, International Journal of Mathematical Archive, 2229-5046, , 8(5) (2017).
  2. On Intuitionistic b# closed sets in Intuitionistic topological spaces,   S. Pasunkilipandian,Mathematical Sciences, 7, 2278-8697(2018).
  3. Some Allied Open Functions via semi star preopen and preopen sets in Topology,   S. Pasunkilipandian, Seventh Sense Research Group, 56 (6), 2231-5373(2018).
  4. 3-modulo difference cordial labelling on some graphs, S. Pasunkilipandian, International Journal for Science and advance research in technology, 5 (3), 2395-1052 (2019).
  5. Neutrosophic Nano Generalized Homeomorphism, S. Pasunkilipandian, e-Proceedings International Conference on Mathematical Techniques and Applications SRM Institute of Science and Technology Chennai, e-ICMTA-2021.
  6. A New Class of Nano Ideal Generalized Closed Set, S. Pasunkilipandian, International Journal of Mechanical Engineering, 0974-5823 (2021).
  7. B g-Separation Axioms, S. Pasunkilipandian, Turkish Journal of Computer and Mathematics Education, 12 (13), 2249-2254 (2021).
  8. Wiener Index number of Class of Commuting Graphs, S. Pasunkilipandian, Proceedings of national seminar, G.V.N College, 978-81-955139-2-5, RTGT’21 (2021).
  9. On Nano ideal generalized quotient mapping, S. Pasunkilipandian, Sri Ramakrishna College Coimbatore Presented, 2022, UGC.
  10. On Contra approach to multi Continuity, S. Pasunkilipandian, Abstract Book-International Conference on Current Scenario in Pure and Applied Mathematics (2022).
  11. A new class of nano local function, S. Pasunkilipandian, International Journal of Mechanical Engineering, 0974-5823 (2022).
  12. On Nano Ideal Generalized Scattered Spaces, S. Pasunkilipandian, Mathematical Statistician and Engineering Applications, 2094-0343 (2022).
  13. Nano Generalized Homeomorphism, S. Pasunkilipandian, AIP Conference Proceedings, 0094-243X, (2022).
  14. Characteristics of Nano Ideal Generalized Closed Set, S. Pasunkilipandian, Stochastic Modeling and Applications, 0972-3641 (2022).
  15. On Contra  Continuity in Nano Ideal Topological Spaces,S. Pasunkilipandian, Turkish Journal of Computer and Mathematics Education, 1309-4653 (2022).
  16. On Some New Notions using  Closed Sets in Nano Ideal Topological Spaces, S.Pasunkilipandian, Kala Sarovar Journal, 0975-4520 (2022).
  17. On rho-lamda continuity using b-open sets, S. Pasunkilipandian, NeuroQuantology, 1303-5150 (2022).
  18. On contra Approach to Multi continuity, S. Pasunkilipandian, NeuroQuantology, 1303-5150 (2022).
  19. Non-commuting graphs on Dihedral groups, S. Pasunkilipandian, Journal of Acquisition and processing, 1004-9037, SCI 2023.
  20. On  submaximal spaces, S. Pasunkilipandian, Research and Deflections in Education, 0974-648X(P)(2023).
  21. Strong forms of b-continuous Multifunctions, S. Pasunkilipandian,Ratio Mathematica – Journal of Mathematics, Statisticsand Applications, 1592-7415, (2023).

Research papers published byDr. S.Nithyanantha Jothi:

  1. Generalized binary closed sets in binary topological spaces, S. Nithyanantha Jothi, Ultra Scientist of Physical sciences, 26(1)A, 25-30 (2014).
  2. Binary- T1/2 spaces, S. Nithyanantha Jothi, Acts Cienca Indica, Vol, XLIM. No.3 (2015).
  3. Generalized Binary Regular closed sets, S.Nithyanantha Jothi, IRA- International Journal of Applied Sciences, 04 (02), 259-263 (2016).
  4. Binary semi open sets in binary topological spaces, S. Nithyanantha Jothi, International Journal of Mathematical Archive, 7(9), 73- 76 (2016).
  5. Binary semi continuous functions, S. Nithyanantha Jothi, IJMTT, 49(2)(2017).
  6. On c*-open sets and generalized c*-closed sets in topological space, S. Nithyanantha Jothi, Acta Ciencia Indica, Vol.  XLIII M, No. 2017, 125-133 (2017).
  7. On generalized c*-open sets and generalized c*-open maps in topological spaces, S. Nithyanantha Jothi, Int. J. Mathematics and its Applications, 5 (4-B), 121-127 (2017).
  8. On Pre-generalized c*-closed sets in topological spaces, S. Nithyanantha Jothi, Journal of computer and Mathematics Science, 8 (12) 720-726 (2017).
  9. On Pre-generalized c*-open sets and pre-generalized c*-open maps in topological spaces, S. Nithyanantha Jothi, Int. J. Mathematical Archive, 8(12), 66-70 (2017).
  10. On generalized c*-neighbourhoods and generalized c*-homeomorphisms in topological spaces, S. Nithyanantha Jothi, Proceedings of National  Conference of Innovation in Mathematics, 87-95 (2018).
  11. On Pre-generalized c*-continuous functions and pre-generalized c*-irresolute functions in topological spaces, S. Nithyanantha Jothi, Mathematical Science International Research Journal, 7 (4), 17-22 (2018).
  12. On Pre-generalized c*-homeomorphisms in topological spaces, S. Nithyanantha Jothi, Journal of Ultra Scientist of Physical Sciences, 30(11), 395-400 (2018).
  13. On Pre- generalized c*-neighbourhoods in topological spaces, S. Nithyanantha Jothi, Proceedings of Instructional School on Emerging Trends in Advanced Mathematics, 63-67 (2019).
  14. On Contra Generalized c* Continuous function in topological spaces, S. Nithyanantha Jothi, Proceedings of National Seminar On New Dimensions in Mathematics and its Applications, 30-37 (2019).
  15. On Contra Pre-Generalized c* -Continuous function in topological spaces, S. Nithyanantha Jothi, Emerging Trends in Pure and Applied Mathematics, 53-59 (2019).
  16. On generalized c*-continuous functions and generalized c*-irresolute functions in topological spaces, S. Nithyanantha Jothi, Turkish Journal of Analysis and Number theory, 6 (6), 164-168 (2018).
  17. Further Study on Supre Pre-connected Sets in Topological Spaces, S. Nithyanantha Jothi, IJSART, Vol.5(4), 49-51 (2019).
  18. Totally Supra β -Continuous and Slightly Supra β-continuous Functions, S. Nithyanantha Jothi, Proceedings of Instructional School on Emerging Trends in Advanced Mathematics, 35-41 (2019).
  19. Some continuous and Homeomorphisms Maps and Separation Axioms in Supra Topological spaces Via Supra β- open sets, S. Nithyanantha Jothi, International Conference On Graph Theory and Its Applications, 1-8 (2019).
  20. Some Maps Via Supra β-Open sets, S. Nithyanantha Jothi, International Journal of Engineering & Science Research, 9(3), 29-33 (2019).
  21. Further Study On Supra β- Irresolute Maps, S. Nithyanantha Jothi, IJSART, 5(5) (2019).
  22. On Supra Pre-Separated Sets and Supra Pre-Connected Sets in Supra Topological spaces, S. NithyananthaJothi, Proceedings of Instructional School on Emerging Trends in Advanced Mathematics, 84-88 (2019).
  23. Binary contra continuous and Binary Contra semi continuous in Binary Topological spaces, S. NithyananthaJothi, International Journal of Mathematical Trends and Technology, (2022).
  24. Delta weakly Generalized* – closed sets in Topological spaces, S.NithyananthaJothi, International Journal of All Research Education and Scientific Methods (2021).

Research papers published by Dr. M. J. Jeyanthi

  1. Generalized b-strongly b*-closed sets in Topological spaces, M. J. Jeyanthi, International Journal of Mathematical Archive, 8(5), 27-34 (2017).
  2. More on gbsb*-closed sets in Topological spaces, M. J. Jeyanthi, Sch. J. Phys. Math. Stat.,; 4(3), 113-120 (2017)
  3. Generalized b-strongly b*-separation axioms in Topological spaces,M. J. Jeyanthi, International Journal of Research Science & Management, 4(11), 17-21 (2017).
  4. On Generalization of Generalized Regular B-closed sets in topological spaces,  M. J. Jeyanthi, Proceedings of Instructional School on Emerging Trends in Advanced Mathematics,  75-83 (2019).
  5. On Generalization of Generalized Regular b-open sets in Topological spaces,  M. J. Jeyanthi, International Journal of Mathematics Trends and Technology, 65(4), 41-51 (2019).

Research papers published by K. Bageerathi

[1]       Some weak Forms of Fuzzy C -Semi- pre open and Fuzzy C -Semi- pre Closed functions, K. Bageerathi, Journal of the Indian Academy of Mathematics, 35 (1) (2013).

[2]      Fuzzy strongly C –semi  irresolute and Fuzzy strongly C –semi  Continuous Functions, K. Bageerathi, International Journal of Engineering Science Invention, 2(1), pp 1-6. ISSN 2319-6726 (2013).

[3]      On fuzzy strongly C – semi open sets and fuzzy strongly C – semi closed sets in fuzzy topological spaces, K. Bageerathi, International Journal of Mathematical Archive, ISSN NO. 2229-5046, 4(4) 1-6 (2013).

[4]       A generalization of fuzzy pre-boundary, K. Bageerathi, International Journal of Engineering Science and Mathematics, Vol : 2(2), 21-39 (2013).

[5]      On fuzzy strongly C – pre open sets and fuzzy strongly C – pre closed sets in fuzzy topological spaces, K. Bageerathi, African Journal of Mathematics and    Computer Science Research, Vol : 6(5), 102-107 (2013).

[6]      A generalization of fuzzy semi pre open sets, K. Bageerathi, International Journal of Engineering Science and Mathematics, 2(2), 134-151 (2013).

[7]      On fuzzy γ- boundary and γ- semi boundary, K. Bageerathi, International Journal of Scientific & Engineering Research, 4(9) (2013).

[8]       On fuzzy γ- semi open sets and fuzzy γ- semi closed sets in fuzzy topological spaces, R. UshaParameswari and K. Bageerathi, IOSR Journal of Mathematics, 7(1), 63-70 (2013). 

[9]       Generalized fuzzy feebly boundary by the complement function C,  T. Thangam and K. Bageerathi, Journal of Environmental Science, Computer Science and Engineering & Technology, 3(2), 847-857 (2014).

[10]     A comparative study on Boundary concept in different aspects, K. Bageerathi, International Journal of Mathematical Archive, 5(8), 8-14 (2014).

[11]     A generalization of fuzzy semi closed sets in fuzzy topological spaces, K. Bageerathi, International Journal of Multidisciplinary Research Foundation, 3(2) (2014).

[12]     A generalization of fuzzy some open sets in intuitionistic fuzzy topological spaces, K. Bageerathi, Bulletin of Kerala Mathematical Society, 11(2), 137-147 (2014).

[13]    On fuzzy γ- pre open sets and fuzzy γ- pre closed sets in fuzzy topological spaces, K. Bageerathi, International Journal of Innovative and Applied Research, 2(5), 55-64 (2014).

[14]     Generalization of fuzzy b-open sets in fuzzy topological spaces, K. Bageerathi, Aryabhata Journal of Mathematics and informatics, ISSN : 2394-9309 07 (01), (2015).

[15]    Generalization of fuzzy b-boundary, K. Bageerathi, International Journal of Engineering & Scientific Research, ISSN NO. 2347-6532, 03 (10) (2015).

[16]     Generalization of Fuzzy Semi Boundary in Fuzzy Bitopological Spaces, T. Thangam and K. Bageerathi, International Journal of Applied Research, ISSN : 2394-7500 1(11): 806-812 (2015).

[17]     On Soft B-Open Sets in Soft Bitopological Space, N. Revathi and K. Bageerathi,  International Journal of Applied Research, ISSN No. 2394-5869, 1(11), 615-623 (2015).

[18]     On Weak forms of Continuous and Irresolute functions in Fuzzy Bitopological  Spaces,  T. Thangam and K. Bageerathi, International Journal of Ultra Scientist of Physical Sciences, ISSN : 2231-346X, 27(3)A, 205-216, (2015).

[19]     A new concept of fuzzy supra boundary, K. Bageerathi, Bulletin of Kerala Mathematical Society, 12 (2), 185-198 (2015).

[20]    On neutrosophic semi- open sets in Neutrosophic topological spaces, P. Iswarya and K. Bageerathi, International Journal of Mathematics Trends and Technology, 37  (3), 214- 223 (2016).

[21]     Semi # generalized closed sets in topological spaces, S. Saranya and K. Bageerathi, International Journal of Mathematics Trends and Technology, 36 (3), 140- 144 (2016).

[22]    A Study on neutrosophic Frontier and  neutrosophic semi Frontier in Neutrosophic topological spaces, P. Iswarya and K. Bageerathi, Neutrosophic sets and Systems,. ISSN : 2331-6055, 16, 6-15 (2017).

[23]     On Neutrosophic Feebly open sets in Neutrosophic topological spaces, P. JeyaPuvaneswari and K. Bageerathi, International Journal of Mathematics Trends and Technology, 41 (3), 230- 237 (2017).

[24]    Pre # generalized closed sets in topological spaces, M. JeyaChitra and K. Bageerathi, International Journal of Mathematics Trends and Technology, 8 (1), 65- 72 (2017).

[25]     Some New sets using (1, 2)* – Soft B- closed Sets in Soft Bitopological Space,  N. Revathi and K. Bageerathi, Proceedings on National Seminar on Mathematics and its applications scenario in 21th century organized by the Department of Mathematics, A. P. C Mahalakshmi College, Thoothukudi on February 28th, (2017).

[26]    Generalization of Fuzzy semi open sets in Fuzzy Bitopological spaces, T. Thangam and K. Bageerathi, International Journal of Mathematical Archive, ISSN : 2229-5046, 8(4), 121-128 (2017).

[27]     On Characterization of  n – open sets in topological spaces, S. Saranya and K. Bageerathi, International Journal of Mathematical Archive and its Application, ISSN : 2229-5046, 8(12), 140-144 (2017).

[28]     1, 2)* Soft B-continuous and b- closed map, N. Revathi and K.Bageerathi, Asian Journal of Mathematics and computer Research, ISSN : 2395-4205, 17(2), 111-122 (2017).

[29]    Some properties of (1, 2)* Soft B-connected spaces, N. Revathi and  K. Bageerathi, International Journal of Algorithms and Computations, ISSN : 2395-4205, 49(2), 119-127 (2017).

[30]     Some Properties of semi # Generalized open sets in Topological Spaces, K. Bageerathi, S. Saranya, International Journal of Mathematics and its Applications, 5 (1-C), 349-357 (2017).

[31]     Semi # generalized continuous functions in topological spaces, S. Saranya and K. Bageerathi, Enrich Research Journal, ISSN : 2319 – 6394, VII (II) 101-108, JAN-JUNE (2017).

[32]     New separation Axioms in soft Bitopological Spaces, N. Revathi and K. Bageerathi, International Journal of Mathematics and its Applications, ISSN : 2347-1557, 5(4- A): 113-120 (2017).

[34]    A New Closure and Interior operators via v-Closed and V-open sets, S. Saranya and K. Bageerathi, International Journal of Mathematics Trends and Technology, ISSN NO. 2231-5373,  53 (6) (2018).

[35]    Connectedness And Compactness Via V-Open Sets In Topological Spaces, S. Saranya and K. Bageerathi , Mathematical Sciences International Research Journal, ISSN 2278-8697, 7 (2) (2018).

[36]    Generalization of Fuzzy boundary in fuzzy bitopological spaces, T. Thangam and K. Bageerathi, Int. J. Math. And Appl., ISSN: 2347-1557, 6(2–B) 287–294, (2018).

[37]    On n – separation Axioms in topological spaces, S. Saranya and K. Bageerathi, International Journal of Mathematical Sciences, ISSN : 2278-8697, 7, 101-105. (2018).

[38]       (1, 2)* Soft B-Locally closed sets in soft Bitopological spaces,N. Revathi and K. Bageerathi, Proceedings on International Conference on Emerging Trends in Mathematical Strategies, Feb 26, 2018 at Sarah Tucker College, Tirunelveli.

 [39]    On Neutrosophic Feebly Continuous Functions, P. JeyaPuvaneswari and K. Bageerathi, Journal of Emerging Technologies and Innovative Research, Vol. 06, No. 2, January 2019, 713- 723. UGC APPROVED (JETIR1901489). ISSN No: 2349-5162.

[40]    Some New Operators in Neutrosophic Topological Spaces, K. Bageerathi and P. JeyaPuvaneswari,  Journal of Computer and Mathematical Sciences, ISSN No:  2319-8133, 10(5), 1004-1010 (2019).

[41]    A Study on neutrosophic semi- Generalized closed sets in Neutrosophic topological spaces, P. Iswarya and K. Bageerathi, JETIR, 6  (2). ISSN : 2349-5162 (2019).

[42]     Neutrosophic Feebly Connectedness and Compactness, K. Bageerathi and P. JeyaPuvaneswari,  IOSR Journal of Polymer and Textile Engineering, ISSN No:  2348-019X, 6(3), 07-13, (2019).

[43]    Neutrosophic Feebly Normal Spaces, P. JeyaPuvaneswari, K. Bageerathi and  P.Selvan, International journal of Communication and Media Studies, ISSN No: 2250-0014, 9(3), 119-130 (2019).

[44]     On Neutrosophic Feebly Frontier in Neutrosophic Topological Spaces,  P. JeyaPuvaneswari and K. Bageerathi,  International Journal of Mathematics Trends and Technology, ISSN No:  2231-5373, 65, 20-25 (2019).

[45]     Preserving Neutrosophic Feebly Closed sets, K. Bageerathi and P. JeyaPuvaneswari, Journal Of Ultra Scientist Of Physical Sciences, ISSN No:2319-8044, 31(5), 43-52 (2019).

[46]     Extremely Disconnected Space in Soft Bitopological Spaces, N. Revathi and K. Bageerathi, International Journal of Advanced Scientific Research and Management, ISSN No:  2455-6378, 4(4), 51-56 (2019).

[47]    Contra Pre* Generalized Continuous Functions in Topological Spaces, M. Jeyachitra and K. Bageerathi,  Journal of Emerging Technologies and Innovative Research, ISSN NO:2349-5162, 6(5), 628-633 (2019).

[48]    Some Functions Concerning Neutrosophic Feebly Open & Closed Sets,  P. JeyaPuvaneswari and K. Bageerathi, International Journal of Scientific Research and Reviews, 8(2), 1546-1559 (2019).

[49]    A Study on Neutrosophic Generalized Semi closed sets in Neutrosophic Topological Spaces, P. Iswaryaand K.Bageerathi, Journal of Emerging Technologies and Innovative Research, ISSN NO: 2349-5162, 6 (2), 452-457 (2019).

[50]    Regular Spaces Associated with Neutrosophic Feebly Open Sets,  P. JeyaPuvaneswari and K.Bageerathi, Journal of Applied Science and Computations, ISSN NO: 1076-5131, VI, Issue VI, 2328-2340 (2019).

[51]    Generalization of Pair wise Fuzzy connectedness, T. Thangam and K.Bageerathi, Journal of Emerging Technologies and Innovative Research, ISSN NO. 2349-5162, 6 (2), 154-158 (2019).

[52]     Neutrosophic Locally Feebly Closed Sets, P. JeyaPuvaneswari and K. Bageerathi, International Journal of Research and Analytical Reviews, ISSN No:2349-5138, 6, 165-173 (2019).

[53]     ‘On Neutrosophic Generalized Semi b*- closed sets, JeyaPuvaneswari, P &Bageerathi, K, Alochana Chakra Journal, ISSN NO: 2231-3990, Vol. IX, Issue VI, 4415-4428 (2019).

[54]     Neutrosophic Feebly Separated Sets, P. JeyaPuvaneswari and K. Bageerathi, Journal of Emerging Technologies and Innovative Research, ISSN No:2349-5162, 6, 329-337 (2019).

[55]    Semi generalized b-strongly b*-open sets in Topological  Spaces, P. Selvan and K.Bageerathi, International Journal of Mathematical Archive, ISSN NO. 2229-5046, 10(7), 37-42 (2019).

[56]     Applications of Pre* Generalized Open sets, M. Jeyachitraand K. Bageerathi, Journal of Computer and Mathematical Sciences, ISSN NO:2319-8133, 10(5), 1119-1130 (2019).

[57]     On p*gp-connectedness and p*gp-compactness, M. Jeyachitra, K. Bageerathi, The International journal of analytical and experimental modal analysis, ISSN No. 0886-9367, XII (III), 2312 – 2323 (2020).

[58]     Separation properties on p*gp-closed sets in topological spaces, M. Jeyachitra, K. Bageerathi, Journal of Engineering, Computing and Architecture, ISSN NO. 1934-7197, 10 (3), 332-345 (2020).

[59]     On p*gp-Locally Closed Sets in Topological Spaces, M. Jeyachitra, K. Bageerathi,  J. Math. Comput. Sci., ISSN: 1927 -5307, 10 (4), 1167-1175 (2020).

[60]     “Regular Spaces Associated with SGBSB*- Open sets”, P. Selvan and K. Bageerathi,  Proceedings on National Seminar on “Recent Trends in Pure and Applied Mathematics” (sponsored by TANSCHE, Chennai) organized by the Department of Mathematics, Rani Anna Govt. College for women, Tirunelveli on March 9-10, 2020. P. No: 241- 248.

[61]     “Semi-pre Separation Axioms on Invertible and Semi-pre Invertible Spaces”, S. ManickaVinayagam and K. Bageerathi,  Proceedings on National Seminar on “Recent Trends in Pure and Applied Mathematics” (sponsored by TANSCHE, Chennai) organized by the Department of Mathematics, Rani Anna Govt. College for women, Tirunelveli on March 9-10, 2020. P. No: 39 – 43.

[62]     “Neutrosophic Generalized b*closed sets in Neutrosophic Topological Spaces”, S. Muthulakshmi and K. Bageerathi, Proceedings on National Seminar on “Recent Trends in Pure and Applied Mathematics” (sponsored by TANSCHE, Chennai) organized by the Department of Mathematics, Rani Anna Govt. College for women, Tirunelveli on March 9-10, 2020.

[63]     “Generalized semi b*closed set in Topological Spaces”, G. Janaki and K. Bageerathi,  Proceedings on National Seminar on “Recent Trends in Pure and Applied Mathematics” (sponsored by TANSCHE, Chennai) organized by the Department of Mathematics, Rani Anna Govt. College for women, Tirunelveli on March 9-10, 2020. P. No: 17- 24.

[64]     More Notes on separation Axioms via v-open sets, K. Bageerathi and S. Saranya, Proceedings of the International Virtual Conference in current Scenario in Modern Mathematics(ICCSMM-2022) on 4 February 2022, Department of Mathematics, Aditanar College of Arts and Science, Tiruchendur.ISBN: 978-81-948552-9-3.

[65]     ‘Some Functions Via  p*g-closed sets’, Jeyachitra, M &Bageerathi, K , Journal of Interdisciplinary Cycle Research, Vol. XII, Issue VII, pp.1291-1303, ISSN NO: 00222-1945, IF-6.2,  ISO 7021:2008 Certified Journal,   UGC CARE Approved (Group II) MultidisciplinaryJournal, UGC SERIAL NUMBER : 21259.

[66]     ‘Pre*generalized PreRegular Spaces and Pre*generalized Pre Normal Spaces’, Jeyachitra, M &Bageerathi, K,  Aegaeum Journal, Vol. 8, Issue 7, pp. 1666-1672,  ISSN NO: 0776-3808, IF-6.1, ISO 7021:2008 Certified Journal, UGC CARE Approved (Group II) Multidisciplinary Journal.

[67]     ‘Functions associated with p*gp-open sets’Science, Jeyachitra, M &Bageerathi, K, Technology and Development Multidisciplinary Journal, Vol. IX, Issue VII July, pp. 358-376, ISSN NO: 0950-0707, IF: 6.1, UGC CARE Approved (Group II) MultidisciplinaryJournal, UGC SERIAL NUMBER : 33806.

[68]     Minimal of v-open sets and v-closed sets, K. Bageerathi, S. Saranya, International Journal of Advanced Research I Engineering and Technology (IJARET), Volume II, Issue II, Nov – 2020, pp.2382-2386. ISSN No. 0976-6499.

[69]    Neutrosophic Semi-connected Spaces via Neutrosophic Semi-open Sets, P. Iswarya and K. Bageerathi, Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 17, Number 2 (2021), pp. 399-410.

[70]     Functions Associated with v-open sets and v-Closed sets, K. Bageerathi, S. Saranya, International Journal of Analytical and Experimental Model Analysis, UGC-CARE Approved Group-II Journal Volume XIII, Issue Xii, Dec 2021. ISSN NO. 0886-9367.

[71]     ‘An application for decision making problem with neutrosophic topology’, Iswarya P and Bageerathi. K, The International Journal of Analytical and Experimental Modal Analysis, Vol. XIV, Issue I, pp. 1017 – 1025, 2022. (ISSN : 0886 – 9367)(UGC-CARE Approved GROUP – II Journal)

 [72]      ‘Few categories of neutrosophic semi-connected spaces’, Iswarya P and Bageerathi, K, The International Journal of Analytical and Experimental Modal Analysis, Vol. XIV, Issue XI, pp. 1364 – 1370. (ISSN : 0886 – 9367)(UGC-CARE Approved GROUP – II Journal)

[73]     Maximal of v-open sets and v-closed sets, K. Bageerathi and S. Saranya,  Proceedings of the International Virtual Conference in current Scenario in Modern Mathematics(ICCSMM-2022) on 4 February 2022, ISBN: 978-81-948552-9-3.

[74]     More on sgbsb*open sets, K. Bageerathi and P. Selvan, Proceedings of the International Virtual Conference in current Scenario in Modern Mathematics(ICCSMM-2022) on 4 February 2022, ISBN: 978-81-948552-9-3.

[75]     Normal Spaces Associated with sgbsb*open sets, K. Bageerathi and P. Selvan, Proceedings of the International Virtual Conference in current Scenario in Modern Mathematics(ICCSMM-2022) on 4 February 2022, ISBN: 978-81-948552-9-3.

[76]     On Neutrosophic Dot d-ideals of d-Algebras, K. Bageerathi,  Proceedings of the International Virtual Conference in current Scenario in Modern Mathematics(ICCSMM-2022) on 4 February 2022, ISBN: 978-81-948552-9-3.

[77]     BanachSteinhaus Theorem on Linear G*-Normed Spaces, K. Bageerathi and P. Selvan,  Proceedings of the National Seminar on Recent Trends in Algebra & Analysis (RTAA-23) on 18 January, ISBN:978-93-9429315-1.

[78]     Generalized Semi B*-open sets in topological spaces, K. Bageerathi and G. Janaki, Proceedings of the National Seminar on Recent Trends in Algebra & Analysis (RTAA-23) on 18 January, ISBN:978-93-9429315-1.