Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces

Singh, Bijender; Singh, Vizender; Acar, Özlem

doi:10.22130/scma.2023.1978408.1212

Document Type : Research Paper

Authors

¹ Department of Mathematics, Research Scholar, Guru Jambheshwar University of Science and Technology, Hisar, 125001, Haryana, India.

² Directorate of Distance Education, Faculty of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, 125001, Haryana, India.

³ Department of Mathematics, Faculty of Science, Sel\c{c}uk University, 42003, Konya, T\"{u}rkiye.

https://doi.org/10.22130/scma.2023.1978408.1212

Abstract

The objective of this paper is to highlight the idea of $k$-weakly and $2k$-weakly soft compatible mappings and their utilization in proving the main results. For this aim, we establish some fixed point results for the Pre\v{s}i'{c}'s type contractive mappings in the context of soft metric spaces, when the set of the parameter is finite. Also we give an example to show that the condition of finiteness on the set of parameter can't be omitted. Some examples are given to support main findings of this article. Finally, an application of a soft version of BCP in iterated soft function systems is established.

Keywords

Main Subjects

Fixed Point Theory

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Sahand Communications in Mathematical Analysis

Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces

References

References

Volume 21, Issue 2
March 2024
Pages 83-103

Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces

References

References

Volume 21, Issue 2March 2024Pages 83-103

Volume 21, Issue 2
March 2024
Pages 83-103