Common Fixed Point Theorems for Compatible Maps in Generalized Fuzzy Metric Spaces

In this paper, we consider generalized fuzzy metric spaces and provide existence and uniqueness fixed point results. First, we use compatible maps of type (β) to prove fixed point results, then we introduce weakly compatible maps to approximate common fixed point results by using an implicit relation.

FIXED POINT THEOREMS IN MR-METRIC SPACE THROUGH SEMI-COMPATIBILITY

In this paper, we interpret the concept of $MR-$semi-compatible maps in $MR-$metric spaces and in the view of orbital concept we deduce some fixed point theorems through $MR-$semi-compatibly for the pair $(U,V)$ of self-mappings on the set $\mathbb{X}$ under a set of conditions.

Some common fixed point theorems for four self-mappings satisfying a general contractive condition

In the paper, we derive a general case for four weakly compatible self maps satisfying a general contractive condition due to the same method introduced by Altun et al. [2]. We make use of such a study to prove common fixed point theorems for weakly compatible maps along with E.A. and (CLR) properties.