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Research Article | Open Access

A study of ( m , q )-isometric multimappings in the context of G -metric spaces

Hadi Obaid Alshammari( ), Abdulrahman Obaid Alshammari
Department of Mathematics, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia
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Abstract

This paper introduces and explores new concepts of ( m , q )-isometric multimappings in the context of extended metric structures. These newly defined concepts serve as extensions of the existing theory of ( m , q )-isometric multimappings in traditional metric spaces, as well as ( m , q )- G -isometric single mappings in generalized metric spaces. The study aims to broaden the understanding of isometric multimappings properties and their interactions within these extended spaces.

Keywords

generalized metric spacem-isometric mappingstuple of mappings
CLC number: 47B99, 54E40

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 11369-11381
DOI: 10.3934/math.2025517

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Alshammari HO, Alshammari AO. A study of ( m , q )-isometric multimappings in the context of G -metric spaces. AIMS Mathematics, 2025, 10(5): 11369-11381. https://doi.org/10.3934/math.2025517

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Received: 29 January 2025
Revised: 22 April 2025
Accepted: 07 May 2025
Published: 15 May 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)