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.
Authors
- Ismat Beg (ORCID: https://orcid.org/0000-0002-4191-1498)
- İrem Eroğlu (ORCID: https://orcid.org/0009-0009-0147-3102)
Institutions
- Lahore School of Economics (PK)
- Ordu University (TR)
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
- Field-Weighted Citation Impact
- 0.00