The aim of this paper is to introduce a new class of contractive mappings such as fuzzy α-ψ-contractive mappings and to present some fixed point theorems for such mappings in complete fuzzy metric space in the sense of Kramosil and Michalek. The results presented in this paper substantially generalize and extend several comparable results in the existing literature. Also, some examples are given to support the usability of our results.
In this paper, we introduce the concept of -chainable intuitionistic fuzzy metric space akin to the notion of -chainable fuzzy metric space introduced by Cho, and Jung [1] and prove a common fixed point theorem for weakly compatible mappings in this newly defined space.
In this paper, employing the common (E.A) property, we prove two common fixed theorems for weakly compatible mappings via an implicit relation in intuitionistic fuzzy metric spaces. Our results generalize the results of Kumar [1, Theorem 3.1] and Huang, Zhu and Wen [2, Theorem 4.1].
In this paper, employing the common (E.A.) property, we prove a common fixed theorem for weakly compatible mappings via an implicit relation in intuitionistic fuzzy metric space.
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