Some generalizations for ( α − ψ , ϕ ) $(\alpha - \psi,\phi )$ -contractions in b-metric-like spaces and an application

Abstract

Abstract In this paper, we introduce a new class of α q s p $\alpha_{qs^{p}}$ -admissible mappings and provide some fixed point theorems involving this class of mappings satisfying some new conditions of contractivity in the setting of b-metric-like spaces. Our results extend, unify, and generalize classical and recent fixed point results for contractive mappings.

Keywords

• α q s p $\alpha_{qs^{p}}$ -admissible mappings
• ( α q s p − ψ , ϕ ) $(\alpha_{qs^{p}} - \psi,\phi )$ contractive mapping
• b-metric-like space
• fixed point