Fixed fuzzy points of generalized Geraghty type fuzzy mappings on complete metric spaces

Abstract

Generalized Geraghty type fuzzy mappings on<br />complete metric spaces are introduced and a fixed point theorem that<br />generalizes some recent comparable results for fuzzy mappings in<br />contemporary literature is obtained. Example is provided to show the<br />validity of obtained results over comparable classical results for fuzzy<br />mappings in fixed point theory. As an application, existence of coincidence<br />fuzzy points and common fixed fuzzy points for hybrid pair of single valued<br />self mapping and a fuzzy mapping is also established.