Coupled Fixed Point Theory over Quantale-Valued Quasi-Metric Spaces (QVQMS) with Applications in Generalized Metric Structures
Abstract
In this study, we establish several coupled fixed point results in quantale-valued quasi-metric spaces (QVQMSs), which constitutes a generalization of metric and probabilistic metric spaces. The obtained results will be illustrated with concrete examples. Furthermore, we introduce the concept of θs-completeness and, as an application of the main theorems, we derive some results in both quantale-valued partial metric spaces and probabilistic metric spaces.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Optimization and Variational Analysis
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- Axioms
- Volume
- 15
- Issue
- 1
- Pages
- 45–45
- Publication date
- 8 January 2026
- Language
- EN