Fixed points in fuzzy quasi-metric spaces

This paper investigates fixed point results for fuzzy mappings in the framework of fuzzy quasi-metric spaces by employing an altering distance control function. The obtained results are established in more general settings, including left K-complete fuzzy quasi-metric spaces as well as G-bicomplete fuzzy quasi-metric spaces. We derive results for both single-valued and multivalued mappings. Furthermore, an application to the Divide and Conquer algorithm is presented. Several well-known fixed point theorems are recovered as special cases of the results proved herein.

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Publication Details

Journal
Fixed Point Theory and Algorithms for Sciences and Engineering
Published
2026-08-03
DOI
https://doi.org/10.1186/s13663-026-00849-1
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Fixed points in fuzzy quasi-metric spaces

Ismat Beg, İrem Eroğlu
Fixed Point Theory and Algorithms for Sciences and Engineering
Fixed Point Theorems Analysis
article

Fixed points in fuzzy quasi-metric spaces

Ismat Beg, İrem Eroğlu
article en

Abstract

This paper investigates fixed point results for fuzzy mappings in the framework of fuzzy quasi-metric spaces by employing an altering distance control function. The obtained results are established in more general settings, including left K-complete fuzzy quasi-metric spaces as well as G-bicomplete fuzzy quasi-metric spaces. We derive results for both single-valued and multivalued mappings. Furthermore, an application to the Divide and Conquer algorithm is presented. Several well-known fixed point theorems are recovered as special cases of the results proved herein.

Fixed Point Theory and Algorithms for Sciences and Engineering
Lahore School of Economics (PK), Ordu University (TR)
Reduced inequalities
Openalex Percentile: Top 4%
Fixed Point Theorems Analysis
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