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Research Article | Open Access

Fixed point results for inward and outward enriched Kannan mappings

Yahya Almalki1, Muhammad Usman Ali2( ), Monairah Alansari3
Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia
Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Islamabad, Pakistan
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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Abstract

This article presents the concepts of inward and outward enriched Kannan mappings, as well as inward and outward enriched Bianchini mappings. Through appropriate results based on certain conditions, the article also examines the existence of fixed points for such mappings. Some examples are also developed to support the presented notions and results.

Keywords

enriched Kannan mappingenriched Bianchini mappingfixed points
CLC number: 37C25, 47H10

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AIMS Mathematics
Volume 10 Issue 2,
February 2025
Pages 3207-3226
DOI: 10.3934/math.2025149

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Cite this article:
Almalki Y, Ali MU, Alansari M. Fixed point results for inward and outward enriched Kannan mappings. AIMS Mathematics, 2025, 10(2): 3207-3226. https://doi.org/10.3934/math.2025149

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Received: 04 December 2024
Revised: 13 February 2025
Accepted: 17 February 2025
Published: 15 February 2025
©2025 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)