On Soft Nano Weakly Generalized Closed Maps

K. Kiruthika; N. Nagaveni

doi:https://doi.org/10.14445/22315373/IJMTT-V68I8P513

International Journal of Mathematics Trends and Technology

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Volume 68 | Issue 8 | Year 2022 | Article Id. IJMTT-V68I8P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I8P513

On Soft Nano Weakly Generalized Closed Maps

K. Kiruthika, N. Nagaveni

Received	Revised	Accepted	Published
08 Jul 2022	09 Aug 2022	29 Aug 2022	30 Aug 2022

Abstract

In this paper we introduce a new class of closed map called soft nano weakly generalized closed map. Some of its properties are discussed. Also, soft nano weakly generalised homeomorphisim and soft nano weakly generalised* homeomorphisim is defined and its properties are studied.

Keywords

SNwg-Closed map, SNwg-homeomorphisim, SNwg*-homeomorphisim.

References

[1] Babita.K.V, Sunil. J.J., “Soft set relations and functions”, Computers and Mathematics with Applications, Vol.60, 1840-1849 (2010).
[2] S.S. Benchalli, P.G. Patil, N.S. Kabbur and J. Pradeepkumar, on soft nano topological spaces, (Communicated).
[3] S.S. Benchalli, P.G. Patil, N.S. Kabbur and J. Pradeepkumar, On soft nano continuity in soft nano topological spaces and its applications, Annals of Fuzzy Mathematics and Informatics, (Article in press).
[4] S.S. Benchalli, P.G. Patil, N.S. Kabbur and J. Pradeepkumar, On δ-operation in soft nano topological spaces, J. Comput. & Math. Sci., Vol.9 (8), 1001-1016 (2018).
[5] S.S. Benchalli, P.G. Patil, N.S. Kabbur and J. Pradeepkumar, On soft nano continuity in soft nano topological spaces and its applications, Annals of Fuzzy Mathematics and Informatics, (Article in press).
[6] Bhuvaneswari M, Nagaveni N. A Weaker form of a closed map in Nano Topological space, International Journal of Innovation in Science and Mathematics. 2017; 5(3):77-82.
[7] N. Cagman, S. Karatas and S. Enginoglu, Soft topology, Computers and Mathematics withApplications 62 (2011) 351-358.
[8] S. Hussain and B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications 62 (2011) 4058- 4067.
[9] K. Kiruthika and N. Nagaveni, Application of Weaker Form of Nano Closed Structures by the Use of Ideals and Graph, NeuroQuantology, Vol.20(8),1911-1919 (2022).doi: 10.14704/nq.2022.20.8.NQ44212
[10] Levine.N, “Generalized closed sets in Topology”, Rend. Circ. Mat. Palerno(2), 19 (1970), 89 - 96.
[11] M.Lellis Thivagar and C.Richard, On nano forms of weakly open sets, InternationalJournal of Mathematics and Statistics Invention, 1(1) (2013) 31-37.
[12] M.Lellis Thivagar and C.Richard, On nano continuity, Math. Theory Model., 7(2013) 32-37.
[13] Malghan S. R. (1982), Generalized Closed Maps, J Karnataka Univ.Sci., 27: 82-88.
[14] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics withApplications 45 (2003) 555-562.
[15] Nagaveni N. (1999). Studies on Generalizations of Homeomorphisms in Topological Spaces, Ph.D. Thesis, Bharathiar University,Coimbatore,
[16] Nagaveni.N, Bhuvaneswari.M, “on Nano weakly generalized closed sets” International Journal of Pure and Applied Mathematics Volume 106 No. 7 2016, 129-137.
[17] N.Nagaveni and M.Bhuvaneswari “On Nano weakly generalized continuous functions”, International Journal of Emerging Research in Management &Technology ISSN: 2278-9359 , Volume-6, Issue-4, 2017.
[18] N. Nagaveni and D. Sheeba, “Study on some topological generalized closed graph”,JP Journal of Geometry and Topology, Vol – 20: 3, 2017, 179 – 195.
[19] Nagaveni.N, Kiruthika.K, On soft Nano weakly generalized closed sets, Journal of Applied Science and Computations, Vol. IX (VIII), 10-14 (2022) DOI:16.10089.JASC.2022.V9I08.453459.150801760
[20] Nagaveni.N, Kiruthika.K, On soft Nano weakly generalized continuous functions (Communicated)
[21] N. Nagaveni and K. Kiruthika, “Weaker form of regular continuous function”, American International journal of Research in Science, Technology, Engineering and Mathematics, special issue(ICCSPAM – 2019).
[22] Molodtsov.D, Soft set theory-first result, Comput. Math. Appl, 37, pp.19–31,1999.
[23] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl, Vol.61, 1786-1799 (2011).
[24] Sundaram.P and Nagaveni.N, “Weakly generalized closed sets in topological space”, Proc.84th Indian Sci. Cong. Delhi (1997).
[25] Zorlutuna.I, Akdag.M, Min.W.K, Atmaca.S., “Remarks on soft topological spaces”, Annals of Fuzzy Mathematics and Informatics, Vol.3(2),171-185 (2012).

Citation :

K. Kiruthika, N. Nagaveni, "On Soft Nano Weakly Generalized Closed Maps," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 8, pp. 136-142, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I8P513