On Soft Nano Weakly Generalized Closed Maps

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-8
Year of Publication : 2022
Authors : K. Kiruthika, N. Nagaveni
 10.14445/22315373/IJMTT-V68I8P513

How to Cite?

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

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.

Reference

[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).