Controlled fuzzy metric spaces and some related fixed point results
Müzeyyen Sangurlu Sezen
Abstract
Abstract In this paper, we introduce a new extension in the subject of fuzzy metric, called controlled fuzzy metric space. This notion is a generalization of fuzzy b‐metric space. Also, we prove a Banach‐type fixed point theorem and a new fixed point theorem for some self‐mappings satisfying fuzzy ψ ‐contraction condition that is more general than existing theorems. Furthermore, we establish some examples about our main results.
Topics & Concepts
MathematicsFixed-point theoremMetric spaceFuzzy logicFixed pointContraction principleGeneralizationDiscrete mathematicsInjective metric spacePure mathematicsContraction mappingExtension (predicate logic)Mathematical analysisComputer scienceArtificial intelligenceProgramming languageFixed Point Theorems Analysis