BEST PROXIMITY POINT RESULTS FOR FUZZY Z-PROXIMAL CONTRACTIONS IN FUZZY METRIC SPACES

In this manuscript, we introduce the concept of fuzzy -proximal contractions in the framework of fuzzy metric spaces. Additionally, we present novel findings regarding the existence and the uniqueness of best proximity points for such contractions in complete fuzzy metric spaces. These new findings extend and generalize certain results in the existing literature. Examples are included to support our findings.

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Publication Details

Journal
Journal of Mathematical Sciences and Informatics
Published
2024-12-31
DOI
https://doi.org/10.46754/jmsi.2024.12.006
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

BEST PROXIMITY POINT RESULTS FOR FUZZY Z-PROXIMAL CONTRACTIONS IN FUZZY METRIC SPACES

Zabidin Salleh
Journal of Mathematical Sciences and Informatics
Fixed Point Theorems Analysis
article

BEST PROXIMITY POINT RESULTS FOR FUZZY Z-PROXIMAL CONTRACTIONS IN FUZZY METRIC SPACES

Zabidin Salleh
article en

Abstract

In this manuscript, we introduce the concept of fuzzy -proximal contractions in the framework of fuzzy metric spaces. Additionally, we present novel findings regarding the existence and the uniqueness of best proximity points for such contractions in complete fuzzy metric spaces. These new findings extend and generalize certain results in the existing literature. Examples are included to support our findings.

Journal of Mathematical Sciences and InformaticsVol. 4(3)
Universiti Malaysia Terengganu (MY)
Universiti Malaysia Terengganu
Reduced inequalities
Openalex Percentile: Top 62%
Fixed Point Theorems Analysis
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