Generalizations of some contractions in b-metric-like spaces and applications to boundary value problems

Abstract

Abstract This paper provides two wide classes of contractions, which are obtained by using notions of α s p $\alpha _{s^{p}} $ -admissibility and the rich set of C-class functions in the setting of a complete b-metric-like space under more general contractive conditions. An application is provided and many known results in the literature can be derived.

Keywords

• α s p $\alpha _{s^{p}} $ -admissible pair
• α s p − ( C , N , Θ ) $\alpha _{s^{p}} - ( C,N,\Theta )$ contraction
• α s p − ( I , Θ , Γ ) $\alpha _{s^{p}} - (I,\Theta ,\Gamma )$ contraction
• b-metric-like
• Fixed point