On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property

Abstract

Let $(X,d)$ be a complex valued metric space and let $S,T$ be mappings from $X$ to a set of all fuzzy subsets of $X$. We present sufficient conditions for the existence of a common $\alpha$-fuzzy fixed point of $S$ and $T$. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements.