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COMMON FIXED POINTS FOR FUZZY MAPPINGS USING GENERALISED ALTERING DISTANCES

Parikshit Dutta

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Abstract

In this paper we prove a common fixed point theorem for two fuzzy mappings defined on metric spaces. These mappings are assumed to satisfy certain contractive inequality involving functions which are generalizations of altering distance functions. We also note that this fuzzy fixed point result is derivable from a multi-valued fixed point result.

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What this paper is about

In this paper we prove a common fixed point theorem for two fuzzy mappings defined on metric spaces. These mappings are assumed to satisfy certain contractive inequality involving functions which are generalizations of altering distance functions. We also note that this fuzzy fixed point result is derivable from a multi-valued fixed point result.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper we prove a common fixed point theorem for two fuzzy mappings defined on metric spaces. These mappings are assumed to satisfy certain contractive inequality involving functions which are generalizations of altering distance functions. We also note that this fuzzy fixed point result is derivable from a multi-valued fixed point result.

Key concepts: Mathematics, Fixed point, Least fixed point, Fuzzy logic, Fixed-point theorem, Fixed-point property, Coincidence point, Metric space

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