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Research Article | Open Access

Fixed point theorems of contractive mappings on soft parametric metric space

Çiğdem Aras Gündüz1, Sadi Bayramov2, Arzu Erdem Coşkun1( )
Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey
Department of Algebra and Geometry, Baku State University, Baku 1148, Azerbaijan
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Abstract

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.

Keywords

parametric soft metric spaceBanach's fixed point theoremsoft complete parametric metric space
CLC number: 32H50, 47H10, 54H25

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 7945-7954
DOI: 10.3934/math.2024386

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Cite this article:
Gündüz ÇA, Bayramov S, Coşkun AE. Fixed point theorems of contractive mappings on soft parametric metric space. AIMS Mathematics, 2024, 9(4): 7945-7954. https://doi.org/10.3934/math.2024386

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Received: 20 December 2023
Revised: 01 February 2024
Accepted: 05 February 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)