Common Fixed Points in Fuzzy Metric space Using Variants of Compatible Mappings

Rashmi Rani

Abstract


The aim of the present article is to generalize the notion of reciprocal continuity to conditionally reciprocal continuity and obtain related common fixed-point theorem in diverse settings. Our results generalize and extend several fixed-point theorems in metric and fuzzy metric spaces. We also demonstrate existence and uniqueness of common fixed point for a pair of conditionally compatible self-mappings. 


Keywords


Conditionally reciprocal continuity, Conditionally compatible mappings, Fixed point, Fuzzy metric space, g-compatible or f-compatible mappings

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