FIXED POINT THEOREMS IN FUZZY METRIC SPACES THROUGH WEAK COMPATIBILITY

Abstract

We prove a common fixed point theorem for six self-maps on a complete fuzzy metric space that generate some compatible and weakly compatible pairs of maps. Our result extends and unies corresponding fixed point theorems of Sessa [9], Jungck [5], [6], Singh and Chauhan [10], that were proved for commuting and weakly commuting self maps of metric spaces or of probabilistic metric spaces.

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