In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a generalized contractive condition. Our results are generalizations for many results in the literature. Some examples are given to support these results.

In this paper, by using of Suzuki-type approach [Suzuki, T., A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc., 136, 1861–1869, 2008.] we prove new type of Suzuki- type fixed point theorem for non-Archimedean S - fuzzy metric spaces which is generalization of Suzuki-Type fixed point results in S - metric spaces.

In this manuscript, we extend the notion of (φ , ψ)-weak contraction to intuitionistic generalized fuzzy cone metric space by employing the idea of altering distance function. We also obtain common fixed point theorems in intuitionistic generalized fuzzy cone metric space, which extend and generalize the several known results in the literature.

The fundamental goal of this paper is to derive common fixed-point results for a sequence of multivalued mappings contained in a closed ball over a complete neutrosophic metric space. A basic and distinctive procedure has been used to prove the proposed results.

In this paper, we present a common tripled fixed point theorem for weakly compatible mappings under ϕ-contractive condition in M-fuzzy metric spaces. The result generalizes, extends and improves several classical and very recent related results of Sedghi, Altun and Shobe.

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In this paper, we introduce intuitionistic fuzzy contraction mappings in intuitionistic fuzzy generalized metric spaces. The presented theorems, extend, generalize and improve the corresponding result which given in the literature. Some fixed point theorems in intuitionistic fuzzy generalized metric space in the sense of George and Veeramani [2].

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