New Trends in Fixed Point Theory in Fuzzy Metric Spaces and Their Generalizations
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 December 2026 | Viewed by 1125
Editor
Interests: topology; aggregation operators; fixed point theory; multiagent systems; fuzzy metric space; fuzzy topology
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The study of fuzzy metric spaces—first introduced by Kramosil and Michalek and subsequently modified in various ways throughout the literature—has become an active area of research in mathematics, particularly from the topological point of view. Although it is well known that fuzzy metrics and classical metrics are topologically equivalent, they show significant differences from a purely metric perspective. In particular, fixed-point theory in fuzzy metric spaces reveals important distinctions from its classical counterpart, making it an intensive field of research in recent years. Furthermore, several authors have proposed generalizations of fuzzy metrics from different viewpoints, including fuzzy quasi-metrics, fuzzy partial metrics, fuzzy b-metrics, vector-valued fuzzy metrics, and others.
This Special Issue aims to bring together recent advances in fixed point theory within the framework of fuzzy metric spaces and their generalizations. Specifically, it seeks to publish high-quality papers devoted to establishing and analyzing new fixed-point results in (generalized) fuzzy metric spaces, as well as their applications to differential and integral equations, optimization, and decision-making under uncertainty. Contributions addressing stability, uniqueness, and convergence results in fuzzy contexts, as well as papers exploring connections between fuzzy fixed-point theory and emerging areas such as artificial intelligence, data science, and control theory, will also be considered.
Prof. Dr. Juan José Miñana
Guest Editor
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Keywords
- fuzzy metric space
- fixed-point
- contractive mapping
- generalized fuzzy metric spaces
- common fixed points
- completeness
- stability analysis
- convergence and uniqueness results
- optimization
- nonlinear analysis
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