Some Fixed Point Theorems for <i>α</i>-Admissible Mappings in Complex-Valued Fuzzy Metric Spaces

Abstract

This paper discusses some properties of complex-valued fuzzy metric spaces and introduces the α-admissible mappings in the setting of complex-valued fuzzy metric spaces. We establish fixed point theorems for mappings satisfying symmetric contractive conditions with control functions. The results of this paper generalize, extend, and improve several results from metric, fuzzy metric, and complex-valued fuzzy metric spaces. Several examples are presented that verify and illustrate the new concepts, claims, and results.

Keywords

• complex-valued fuzzy metric space
• α-admissible mapping
• fixed point
• α-(ψ,ϕ)-contraction