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September 10, 2025

New Common Fixed Point Theorems for Conditionally Compatible of Type (E) in Intuitionistic Fuzzy Metric Space

Key Points

A generalized contractive condition establishes a new common fixed point theorem in intuitionistic fuzzy metric spaces.
The study enhances prior results by modifying continuous conditions to a weaker form, improving flexibility.
The findings may have broader implications in mathematical analysis and fuzzy logic applications.
The framework provides new insights into the nature of compatibility in fuzzy metric spaces.

Abstract

The purpose of this paper is to introduce the new concept, conditionally compatible of type (E) in the framework of Intuitionistic fuzzy metric space, and to establish a new common fixed point theorem by using a generalized contractive condition of integral type with all values of α ∈ (0, 2). And we improve the known result of K.B. Manandhar and et-al. by replacing the continuous condition with its weak form.

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