Common fixed point theorems for hybrid pairs of maps in fuzzy metric spaces

Authors

1 Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

2 Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

Abstract

The purpose of this paper is to introduce the notion of common limit range property
(CLR property) for two hybrid pairs of mappings in fuzzy metric spaces, and we prove common
fixed point theorems using (CLR) property for these mappings with implicit relation. Our results
extend some known results to multi-valued arena. Also, we prove common fixed point theorem
in fuzzy metric spaces satisfying an integral type.

Keywords