Work

Another Meir-Keeler-type nonlinear contractions

Year: 2025

Type: article

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.

Source: AIMS Mathematics

DOI: 10.3934/math.2025349

Authors: Daniel Francis, Godwin Amechi Okeke, Aviv Gibali

Institutions: Federal University of Technology Owerri, Michael Okpara University of Agriculture, Holon Institute of Technology

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4409063499