Some common fixed point theorems in complete -fuzzy metric spaces.

Saadati, R.; Sedghi, S.; Shobe, N.; Vaespour, S.M.

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Fixed point theorems of $G$ -fuzzy contractions in fuzzy metric spaces endowed with a graph

Satish Shukla (2014)

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Let $(X, M, *)$ be a fuzzy metric space endowed with a graph $G$ such that the set $V (G)$ of vertices of $G$ coincides with $X$ . Then we define a $G$ -fuzzy contraction on $X$ and prove some results concerning the existence and uniqueness of fixed point for such mappings. As a consequence of the main results we derive some extensions of known results from metric into fuzzy metric spaces. Some examples are given which illustrate the results.