Fixed Point Theorems in Soft Multiplicative Metric Space
In this article, we first define the concept of soft multiplicative metric space and then establish its relation with soft metric and multiplicative metric space. This new approach enables us to obtain some fixed point results. We also provide some examples to verify and illustrate our results.
M. Abbas, G. Murtaza and S. Romaguera, On the fixed point theory of soft metric spaces, Fixed Point Theory and Applications 2016 (2016):17, 1 – 11, DOI: 10.1186/s13663-016-0502-y.
R. P. Agarwal, E. Karapinar and B. Samet, An essential remark on fixed point results on multiplicative metric spaces, Fixed Point Theory and Applications 2016 (2016), 21, 1 – 3, DOI: 10.1186/s13663-016-0506-7.
M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications 62 (2011), 351 – 358, DOI: 10.1016/j.camwa.2008.11.009.
S. Das and S. K. Samanta, On soft metric spaces, Journal of Fuzzy Mathematics 21 (2013), 207 – 213, URL: https://www.researchgate.net/publication/273442337_On_soft_metric_space.
S. Das and S. K. Samanta, Soft real sets, soft real numbers and their properties, Journal of Fuzzy Mathematics, 20 (2012), 551 – 576, URL: https://www.researchgate.net/publication/268995256_Soft_real_sets_soft_real_numbers_and_their_properties.
P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002), 1077 – 1083, URL: DOI: 10.1016/S0898-1221(02)00216-X.
P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics with Applications 45 (2003), 555 – 562, DOI: 10.1016/S0898-1221(03)00016-6.
P. Majumdar and S. K. Samanta, On soft mappings, Computers and Mathematics with Applications 60 (2010), 2666 – 2672, DOI: 10.1016/j.camwa.2010.09.004.
D. A. Molodtsov, Soft set theory-first results, Computers & Mathematics with Applications 37 (1999), 19 – 31, DOI: 10.1016/S0898-1221(99)00056-5.
B. R. Wadkar, R. Bhardwaj, V. N. Mishra and B. Singh, Fixed point results related to soft sets, Australian Journal of Basic and Applied Sciences 10 (2016), 128 – 137, URL: http://www.ajbasweb.com/old/ajbas/2016/November/128-137.
M. I. Yazar, C. Gunduz and S. Bayramov, Fixed point theorems of soft contractive mappings, Filomat 30(2) (2016), 269 – 279, URL: https://www.jstor.org/stable/24898433.
- There are currently no refbacks.
eISSN 0975-8607; pISSN 0976-5905