A study of $ (m, q) $-isometric multimappings in the context of $ \mathcal{G} $-metric spaces

Hadi Obaid Alshammari; Abdulrahman Obaid Alshammari; Hadi Obaid Alshammari; Abdulrahman Obaid Alshammari

doi:10.3934/math.2025517

AIMS Mathematics

2025, Volume 10, Issue 5: 11369-11381. doi: 10.3934/math.2025517

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Research article

A study of $ (m, q) $-isometric multimappings in the context of $ \mathcal{G} $-metric spaces

Department of Mathematics, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia

Received: 29 January 2025 Revised: 22 April 2025 Accepted: 07 May 2025 Published: 19 May 2025
MSC : 47B99, 54E40

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) $-$ \mathcal{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.
- generalized metric space,
- $ m $-isometric mappings,
- tuple of mappings
Citation: Hadi Obaid Alshammari, Abdulrahman Obaid Alshammari. A study of $ (m, q) $-isometric multimappings in the context of $ \mathcal{G} $-metric spaces[J]. AIMS Mathematics, 2025, 10(5): 11369-11381. doi: 10.3934/math.2025517

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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) $-$ \mathcal{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.

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