FIXED POINT RESULTS FOR FUZZY SET-VALUED MAPS ON METRIC SPACE

Abstract

Among various developments in fuzzy mathematics, progressive efforts have been in process to examine new fuzzy versions of the classical fixed point results and their various applications. Following this trend in this paper, some new fixed point results for fuzzy set-valued maps are established in the framework of metric space. From application viewpoint, a few corresponding fixed point theorems in ordered metric spaces as well as crisp multi-valued and single-valued mappings are pointed out and discussed. A nontrivial example is constructed to support the assertions of our obtained results. Consequently, we note that the ideas presented herein complement, unify and generalize several recently announced results in the related literature of both fuzzy and classical mathematics.