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 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.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025349
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

Another Meir-Keeler-type nonlinear contractions

Godwin Amechi Okeke, D. Francis, Aviv Gibali
AIMS Mathematics
Fixed Point Theorems Analysis
article

Another Meir-Keeler-type nonlinear contractions

Godwin Amechi Okeke, D. Francis, Aviv Gibali
article en

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.

AIMS MathematicsVol. 10(4)
Holon Institute of Technology (IL), Federal University of Technology Owerri (NG), Michael Okpara University of Agriculture (NG)
Openalex Percentile: Top 89%
Fixed Point Theorems Analysis
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