Common fixed points of Chatterjea type fuzzy mappings on closed balls

Abstract

We establish some common fixed point theorems for Chatterjea fuzzy mappings on closed balls in a complete metric space. Our investigation is based on the fact that fuzzy fixed point results can be obtained simply from the fixed point theory of mappings on closed balls. In real-world problems, there are various mathematical models in which the mappings are contractive on the subsets of a space under consideration but not on the whole space itself. It seems that this technique of finding the fuzzy fixed points was ignored. Our results generalize several important results of the literature.