Fixed Point Theorems in Soft Multiplicative Metric Space

Authors

  • Savita Rathee Department of Mathematics, Maharshi Dayanand University, Rohtak 124001
  • Ridam Girdhar Department of Mathematics, Government P.G. College for Women (Maharshi Dayanand University), Rohtak
  • Kusum Dhingra Department of Mathematics, Government P.G. College for Women (Maharshi Dayanand University), Rohtak

DOI:

https://doi.org/10.26713/cma.v11i3.1316

Keywords:

Soft set, Soft point, Soft real number, Soft metric space, Soft multiplicative metric space

Abstract

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.

Downloads

Download data is not yet available.

References

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.

Downloads

Published

30-09-2020
CITATION

How to Cite

Rathee, S., Girdhar, R., & Dhingra, K. (2020). Fixed Point Theorems in Soft Multiplicative Metric Space. Communications in Mathematics and Applications, 11(3), 425–442. https://doi.org/10.26713/cma.v11i3.1316

Issue

Vol. 11 No. 3 (2020)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.