Common Fixed Point Results of (α − ψ, φ)-Contractions for a Pair of Mappings and Applications

Abstract

In this paper, we prove some fixed point theorems in a b-metric-like space setting using a new class of admissible mappings and types of α − k and ( ψ , ϕ )-contractive conditions. Our results are supported by the application of finding solutions of integral equations and generalizing some well-known results of the literature.

Keywords

• αsp-admissible pair
• (αsp − ψ, ϕ)-contractive mapping
• b-metric-like space
• fixed point