Fixed point theorems of contractive mappings on soft parametric metric space

Author:

Gündüz Çiğdem Aras1,Bayramov Sadi2,Coşkun Arzu Erdem1

Affiliation:

1. Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey

2. Department of Algebra and Geometry, Baku State University, Baku 1148, Azerbaijan

Abstract

<abstract><p>The purpose of this study was to introduce soft topology generated by soft parametric metric space and prove Banach's fixed point theorem as an extension of soft complete parametric metric space. An illustrative example was given by using this fixed point theorem.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference24 articles.

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2. M. Abbas, Soft set theory: generalizations, fixed point theorems, and applications, España: Universitat Politecnica de Valencia, 2014.

3. M. Aslantas, H. Sahin, D. Turkoglu, Some Caristi type fixed point theorems, J. Anal., 29 (2021), 89–103. https://doi.org/10.1007/s41478-020-00248-8

4. M. Aslantas, H. Sahin, U. Sadullah, Some generalizations for mixed multivalued mappings, Appl. Gen. Topol., 23 (2022), 169–178.

5. S. K. Barve, Q. Kabir, M. Mohamaad, Soft fixed point theorem for contraction conditions in dislocated soft metric space, International Journal of Scientific Research and Reviews, 8 (2019), 785–791.

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