Fixed Point Theorems on Soft \(S\)-Metric Spaces

Cigdem Gunduz Aras, Sadi Bayramov, Vefa Cafarli

Abstract


The first aim to this paper is to define soft \(S\)-metric spaces and to investigate some important properties. In addition to, we prove some fixed point theorems of soft contractive mappings on soft \(S\)-metric spaces.


Keywords


Soft set, soft \(S\)-metric space, soft contractive mapping, fixed point theorem

References


S. Bayramov, C. Gunduz, Soft locally compact spaces and soft paracompact spaces, J. Math.System Sci., 3 (2013), 122-130.

S. Bayramov and C. Gunduz , A new approach to separability and compactness in soft topological spaces, TWMS Journal of Pure and Applied Mathematics 9(21), (2018).

S. Bayramov, C. Gunduz and L. Mdzinarishvili, Singular homology theory in the category of soft topological spaces, Georgian Math. J., 22 (4) (2015), 457467.

S. Das and S.K.Samanta, Soft metric, Ann. Fuzzy Math. Inform. 6(1) (2013), 77-94.

C. Gunduz Aras and S. Bayramov, On the Tietze extension theorem in soft topological spaces, Proc. of Inst.Math. and Mech. 43(1) (2017), 105-115.

C. Gunduz Aras. S. Bayramov and V.Cafarli, Soft S-metric spaces, submitted.

S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl. 62 (2011), 4058-4067.

H. Long-Guang and Z. Xian, Cone metric spaces and fixed point theorems of contractive mappings, J.Math. Anal. Appl. 332 (2007), 1468-1476.

P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), 555-562.

W.K. Min, A note on soft topological spaces, Comput. Math. Appl. 62 (2011), 3524-3528.

D. Molodtsov, Soft set theory- rst results, Comput. Math. Appl.37 (1999), 19-31.

T.Y Ozturk and S. Bayramov, Soft mapping spaces, The Scienti c World Journal, Article ID 307292 (2014), 8p.

S.Sedghi, N.Shobe and A.Aliouche, A generalization of fixed point theorem in S-metric spaces, Mat. Vesnik 64 (2012), 258-266.

M. Shabir and M. Naz, ,On soft topological spaces, Comput. Math. Appl. 61 (2011), 1786-1799.

B.E Rhoades, A comparison of various de nition of contractive mappings, Trans. Amer. Math. Soc. 226 (1977), 257-290.

M.I. Yazar, C. Gunduz Aras and S. Bayramov, Fixed point theorems of soft contractive mappings, Filomat, 30 (2) (2016), 269-279.

M.I. Yazar, T.Bilgin, S. Bayramov and C. Gunduz Aras, A New View on Soft Normed Spaces, International Mathematical Forum, 24 (9) (2014), 1149-1159.


Refbacks

  • There are currently no refbacks.


eISSN 0975-8607; pISSN 0976-5905