Fixed Point Theorems in Multiplicative Soft Metric Spaces
Keywords:
47H10, 54E50
Abstract
Multiplicative metric was introduced in [A.E. Bashirov, E.M. Kurpınar and A. Ozyapıcı,
Multiplicative calculus and its applications, J. Math.Analy. App., 337(2008) 36-48]. On the other hand
soft set theory was introduced in [D. Molodtsov, Soft set-theory-first results, Comput. Math.
Appl.37(1999) 19-31]. Soft metric spaces have been investigated, see for example [Sujoy Das and S. K.
Samanta, Soft metric, Annals of Fuzzy Mathematics and Informatics, 6(1) (2013) 77-94]. In the present
paper we introduce a concept of soft multiplicative metric spaces, and prove some fixed point theorems
of contractive mappings on soft multiplicative metric spaces.
References
[1] A.E. Bashirov, E.M. Kurpınar and A. Ozyapıcı, Multiplicative calculus and its applications, J.
Math.Analy. App., 337(2008) 36-48
[2] D. Molodtsov, Soft set-theory-first results, Comput. Math. Appl.37(1999) 19-31
[3] Sujoy Das and S. K. Samanta, Soft metric, Annals of Fuzzy Mathematics and Informatics, 6(1) (2013)
77-94
[4] P. K. Maji, A. R. Roy and R. Biswas “Soft set theory”, Comput. Math. Appl., 45 (2003), 555 - 562.
http://dx.doi.org/10.1016/s0898-1221(03)00016-6
[5] P. Majumdar and S. K. Samanta, On soft mappings, Comput. Math. Appl., 60 (2010) 2666 -2672.
http://dx.doi.org/10.1016/j.camwa.2010.09.004
[6] Sujoy Das and S. K. Samanta, Soft real sets, soft real numbers and their properties, J. Fuzzy Math., 20
(3) (2012), 551 – 576
[7] Saluja et.al, Fixed Point Theorem for Weakly Contractive Mapping on Generalized Soft Metric Spaces,
International Journal of Mathematical Analysis Vol. 8, 2014, no. 57, 2809 – 2825
Math.Analy. App., 337(2008) 36-48
[2] D. Molodtsov, Soft set-theory-first results, Comput. Math. Appl.37(1999) 19-31
[3] Sujoy Das and S. K. Samanta, Soft metric, Annals of Fuzzy Mathematics and Informatics, 6(1) (2013)
77-94
[4] P. K. Maji, A. R. Roy and R. Biswas “Soft set theory”, Comput. Math. Appl., 45 (2003), 555 - 562.
http://dx.doi.org/10.1016/s0898-1221(03)00016-6
[5] P. Majumdar and S. K. Samanta, On soft mappings, Comput. Math. Appl., 60 (2010) 2666 -2672.
http://dx.doi.org/10.1016/j.camwa.2010.09.004
[6] Sujoy Das and S. K. Samanta, Soft real sets, soft real numbers and their properties, J. Fuzzy Math., 20
(3) (2012), 551 – 576
[7] Saluja et.al, Fixed Point Theorem for Weakly Contractive Mapping on Generalized Soft Metric Spaces,
International Journal of Mathematical Analysis Vol. 8, 2014, no. 57, 2809 – 2825
Published
2018-11-30
Section
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