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Research Article | Open Access

Some fixed points in complete extended b-metric spaces for single-valued and multi-valued mappings

Department of Mathematics and Statistics, College of Since, University of Jeddah, Jeddah 21493, Saudi Arabia
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Abstract

In this paper, I prove the existence and uniqueness of fixed points in complete extended b-metric spaces for Kannan and Chatterjea contractions in a single-valued setting. We also prove the existence of fixed points in complete extended b-metric spaces for the existence of fixed points in complete extended b-metric spaces for Nadler and Kannan-type contractions in a multi-valued setting.

Keywords

fixed pointb-metric spaceNadler theoremmultivalued mappingKannan contractionChatriga contraction
CLC number: 47H04, 47H10, 54E35

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AIMS Mathematics
Volume 11 Issue 4,
April 2026
Pages 8988-9007
DOI: 10.3934/math.2026371

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Cite this article:
Abulhamil DA. Some fixed points in complete extended b-metric spaces for single-valued and multi-valued mappings. AIMS Mathematics, 2026, 11(4): 8988-9007. https://doi.org/10.3934/math.2026371

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Received: 23 December 2025
Revised: 17 February 2026
Accepted: 26 February 2026
Published: 02 April 2026
©2026 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)