Convergence results based on graph-Reich contraction in fuzzy metric spaces with application

This article introduces a novel class of Reich-type contractions that meet the graph preservation criteria in the context of complete fuzzy metric spaces. The provided contraction condition is satisfied through various forms of contractive mappings via directed graphs in the literature. Our key resu...

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Bibliographic Details
Published inNonlinear analysis (Vilnius, Lithuania) Vol. 29; no. 1; pp. 71 - 95
Main Authors Jabeen, Shamoona, Koksal, Mehmet Emir, Younis, Mudasir
Format Journal Article
LanguageEnglish
Published Vilnius University Press 01.01.2024
Subjects
fixed point
fuzzy metric
graph
Reich contraction
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Summary:This article introduces a novel class of Reich-type contractions that meet the graph preservation criteria in the context of complete fuzzy metric spaces. The provided contraction condition is satisfied through various forms of contractive mappings via directed graphs in the literature. Our key result is the natural extension of fuzzy metric spaces to fuzzy metrics enriched with a graph, which adds the understanding of fixed points in metric spaces within the realm of graph structure. The findings are further supported by examples and applications.
ISSN:1392-5113
2335-8963
DOI:10.15388/namc.2024.29.33668