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Research Article | Open Access

Fixed point theorems for ( α , ψ )-rational type contractions in Jleli-Samet generalized metric spaces

Doru Dumitrescu( ), Ariana Pitea
Department of Mathematics and Informatics, University "Politehnica" of Bucharest, Bucharest 060042, Romania
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Abstract

The aim of this article is to present some results regarding ( α , ψ )-rational type contractions in the setting of the generalized metric spaces introduced by Jleli and Samet. By the nature of these types of contractions which use also comparison functions, new fixed point theorems are established. Already known facts appear as consequences of our outcomes. Examples and comments point out the applicability of our approach.

Keywords

generalized metric spacesfixed point(α, ψ)-rational type contraction
CLC number: 47H09, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16599-16617
DOI: 10.3934/math.2023849

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Cite this article:
Dumitrescu D, Pitea A. Fixed point theorems for ( α , ψ )-rational type contractions in Jleli-Samet generalized metric spaces. AIMS Mathematics, 2023, 8(7): 16599-16617. https://doi.org/10.3934/math.2023849

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Received: 10 March 2023
Revised: 17 April 2023
Accepted: 24 April 2023
Published: 15 July 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)