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In this paper, we introduce a new fuzzy contraction mapping and prove that such mappings have fixed point in τ-complete fuzzy metric spaces. As an application, we shall utilize the results obtained to show the existence and uniqueness of random solution for the following random linear random operator equation. Moreover, we shall show the existence and uniqueness of the solutions for nonlinear Volterra integral equations on a kind of particular fuzzy metric space. [ABSTRACT FROM AUTHOR]

In this paper we provide three new type of contractive conditions and establish fixed point theorems related to them in the setting of an intuitionistic fuzzy n-Banach space. Our results improve and generalize several classical results existing in literature. Several examples have been provided in support of non-triviality of our results. [ABSTRACT FROM AUTHOR]

In this paper, taking into account the recent contractive technique, which was introduced by Wardowski [18], we present a fixed point theorem for F-contractive type fuzzy mappings over a complete metric space. [ABSTRACT FROM AUTHOR]