Common Fixed Points of Hardy and Rogers Type Fuzzy Mappings on Closed Balls in a Complete Metric Space

Abstract

In this paper we obtain some common fixed point theorems for Hardy and Rogers type 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 theorem of multi-valued mappings with closed values.In real world problems there are
various mathematical models in which the mappings are contractive on the subset of a space under consideration but
not on the whole space itself. Our results generalize several results of literature.