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In this paper, we present a new type of contraction calledW-contraction in fuzzy metric space. Utilizing this contraction, we establish a unique fixed point theorem for self-map in the structure of fuzzy metric space which turns out to be generalization of fuzzy contraction given by Gregori et al. [8]. As an application of our result, we study the existence and uniqueness of the solution to nonlinear ordinary differential equations. The article also includes an example which shows the validity of our results. [ABSTRACT FROM AUTHOR]

This paper presents a new and general class of α - K ψ - s-contractions, involving α-admissible and - s simulation mappings considered in the setting of b-metric-like spaces. By applying this set of contractions associated with applications to integral equation, we unify, generalize, and increase the fixed point results range in the literature. [ABSTRACT FROM AUTHOR]

In this paper, the concept of a cone bv(s)-metric space over Banach algebra is introduced as a generalization of metric spaces, rectangular metric spaces, b-metric spaces, rectangular b-metric spaces, v-generalized metric spaces, cone b-metric spaces over Banach algebra and rectangular cone b-metric spaces over Banach algebra. We also give Banach and, Kannan fixed point results in cone bv(s)-metric spaces over Banach algebra. Some examples are provided as well. [ABSTRACT FROM AUTHOR]