Unified setting of generalized contractions by extending simulation mappings in b-metric-like spaces

Abstract

This paper presents a new and general class of $\alpha -K_{\psi -s}$ contractions, involving $\alpha$-admissible and $\Psi -s$ 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.