^{1}Department of Mathematics and Applied Mathematics, University of Pre- toria, Hatfield, Pretoria, South Africa

^{2}Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0002, Pretoria South Africa

Abstract

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

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