This research introduces new fixed point theorems for conditionally compatible functions in intuitionistic fuzzy metric spaces, highlighting significant improvements.
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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Gupta et al. (2025) studied this question.
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