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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, we introduce the notions of α – ψ ϕ -contractive and cyclic α – ψ ϕ -contractive mappings and establish the existence and uniqueness of fixed points for such mappings in complete metric-like spaces. The results presented here substantially generalize and extend several comparable results in the existing literature, in particular those of Karapinar and Salimi (2013). As an application, we prove new fixed point results for ψ ϕ -graphic and cyclic ψ ϕ -graphic contractive mappings. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results. [ABSTRACT FROM AUTHOR]