Compactness in soft $S$-metric spaces

다국어 초록 (Multilingual Abstract)

The first aim of this paper is to contribute for investigating on soft $S-$ metric space which is based on soft points of soft sets and to prove some important theorems on sequential compact and totally bounded in soft $S-$ metric space. Moreover, we introduce soft uniformly continuous mapping and examine some of its properties.

참고문헌 (Reference)

1 M. Shabir, "Some properties of soft topological spaces" 62 : 4058-4067, 2011

2 S. Hussain, "Some properties of soft topological spaces" 62 : 4058-4067, 2011

3 G. Senel, "Soft topological subspaces" 10 (10): 525-535, 2015

4 D. Molodtsov, "Soft set theory-first results" 37 : 19-31, 1999

5 P. K. Maji, "Soft set theory" 45 : 555-562, 2003

6 S. Das, "Soft metric" 6 (6): 77-94, 2013

7 S. Bayramov, "Soft locally compact spaces and soft paracompact spaces" 3 : 122-130, 2013

8 S. Bayramov, "Singular homology theory in the category of soft topological spaces" 22 (22): 457-467, 2015

9 C. Gunduz Aras, "On the Tietze extension theorem in soft topological spaces" 43 (43): 105-115, 2017

10 M. I. Ali, "On some new operations in soft set theory" 57 : 1547-1553, 2009

11 M. Shabir, "On soft topological spaces" 61 : 1786-1799, 2011

12 G. Senel, "New soft metric applications" 25 (25): 1-12, 2017

13 C. Gunduz Aras, "Fixed point theorems on soft S-metric spaces" 9 (9): 725-735, 2018

14 T. Y. Ozturk, "Bayramov, Soft mapping spaces" 8-, 2014

15 C. Gunduz Aras, "A study on soft S-metric space" 9 (9): 713-723, 2018

16 W. K. Min, "A note on soft topological spaces" 62 : 3524-3528, 2011

17 S. Bayramov, "A new approach to separability and compactness in soft topo-logical spaces" 9 (9): 82-93, 2018

18 S. Bayramov, "A new approach to inverse and direct systems of soft topological spaces" 10 (10): 51-65, 2016

19 S. Sedghi, "A generalization of fixed point theorem in S-metric spaces" 64 : 258-266, 2012

20 G. Senel, "A comparative research on the definition of soft point" 163 (163): 2017

21 S. Sedghi, "A common fixed point theorem in D*-metric spaces" 13-, 2007