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Research Article | Open Access

Some fixed pointresults for nonlinear contractive conditions in ordered proximity spaceswith an application

Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpaşa University, 60250, Tokat, Turkey
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Abstract

In this article, we use the concept of proximity spaces to prove common fixed point results for mappings satisfying generalized ( ψ, β)-Geraghty contraction type mapping in partially ordered proximity spaces. Finally, we investigate an application to endorse our results.

CLC number: 47H10, 54H25

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AIMS Mathematics
Pages 14541-14557

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Cite this article:
Binbaşıoǧlu D. Some fixed pointresults for nonlinear contractive conditions in ordered proximity spaceswith an application. AIMS Mathematics, 2023, 8(6): 14541-14557. https://doi.org/10.3934/math.2023743

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Received: 13 February 2023
Revised: 02 April 2023
Accepted: 12 April 2023
Published: 15 June 2023
©2023 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)