Compatible and Weakly Compatible Maps in a Complex Fuzzy Metric Space

Abstract

In this paper we introduce the notion of compatibility of self maps in a complex fuzzy metric space. Using this, we establish some common fixed point theorems employing a generalized contractive condition, which extend and generalize the existing results in fuzzy metric spaces to a complex fuzzy metric space.They also generalize the existing results of Singh et al.[13] in a complex fuzzy metric space.

Key words and phrases. Complex fuzzy metric space, t-norm, common fixed points, compatible maps, weakly compatible maps.

2000 Mathematics Subject Classification. 40H05, 46A45.