Weak Compatibilty and Fixed Point Theorem in Fuzzy Metric Spaces using Implicit Relation

Abstract

In this paper, we prove a common fixed point theorem for weakly compatible mappings in fuzzy metric space by removing the assumption of continuity and replacing the completeness of the space with a set of alternative conditions.

Key words and phrases. Common fixed point, Fuzzy metric spaces, Weakly Compatible mappings, Implicit relation.

1991 Mathematics Subject Classification. 47H10, 54H25