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

#### 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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