Another Meir-Keeler-type nonlinear contractions

This paper deals with the concept of $ \alpha $-$ \hat{v} $-$ A $-$ B $-$ C $-Meir-Keeler type nonlinear contractions, a new class mappings within the of modular extended $ b $-metric spaces. We establish common unique fixed-point theorems that generalize, unify, and extend several key results in mo...

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Published inAIMS mathematics Vol. 10; no. 4; pp. 7591 - 7635
Main Authors Francis, Daniel, Okeke, Godwin Amechi, Gibali, Aviv
Format Journal Article
LanguageEnglish
Published AIMS Press 01.04.2025
Subjects
alpha $-$ \hat{v} $-$ a $-$ b $-$ c $ meir-keeler
b $-metric space
existence
metric modular
nonlinear contractions
uniqueness
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ISSN2473-6988
2473-6988
DOI10.3934/math.2025349

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Abstract This paper deals with the concept of $ \alpha $-$ \hat{v} $-$ A $-$ B $-$ C $-Meir-Keeler type nonlinear contractions, a new class mappings within the of modular extended $ b $-metric spaces. We establish common unique fixed-point theorems that generalize, unify, and extend several key results in modular $ b $-metric and modular extended $ b $-metric spaces. These theorems bridge the gap between classical and contemporary fixed-point theories, showcasing broader applicability in nonlinear analysis. To ensure clarity and practical relevance, a detailed example is presented, further validating the theoretical findings. This work provides some level of understanding of the space under investigation and sets the stage for future developments in this evolving domain.
AbstractList This paper deals with the concept of $ \alpha $-$ \hat{v} $-$ A $-$ B $-$ C $-Meir-Keeler type nonlinear contractions, a new class mappings within the of modular extended $ b $-metric spaces. We establish common unique fixed-point theorems that generalize, unify, and extend several key results in modular $ b $-metric and modular extended $ b $-metric spaces. These theorems bridge the gap between classical and contemporary fixed-point theories, showcasing broader applicability in nonlinear analysis. To ensure clarity and practical relevance, a detailed example is presented, further validating the theoretical findings. This work provides some level of understanding of the space under investigation and sets the stage for future developments in this evolving domain.
Author Okeke, Godwin Amechi
Francis, Daniel
Gibali, Aviv
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Cites_doi 10.1002/mma.7875
10.1186/1687-1812-2013-94
10.1186/1687-1812-2011-83
10.15623/ijret.2013.0201001
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10.22436/jnsa.005.02.06
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10.1016/j.na.2011.10.014
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CorporateAuthor Department of Mathematics, Collage of Physical and Applied Sciences, Michael Okpara University of Agriculture Umudike, P.M.B 7267, Abia State, Nigeria
Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, P.M.B. 1526 Imo State, Nigeria
Department of Applied Mathematics, Holon institute of Technology, Holon, Israel
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StartPage 7591
SubjectTerms alpha $-$ \hat{v} $-$ a $-$ b $-$ c $ meir-keeler
b $-metric space
existence
metric modular
nonlinear contractions
uniqueness
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Title Another Meir-Keeler-type nonlinear contractions
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