Fixed-Point Theorems for ω − ψ -Interpolative Hardy-Rogers-Suzuki-Type Contraction in a Compact Quasipartial b -Metric Space

Abstract

This paper is aimed at proving the existence and uniqueness of a common fixed point for a pair of $\omega -\psi$ -interpolative Hardy-Rogers-Suzuki-type contractions in the context of quasipartial $b$ -metric space. Thus, several results in literature such as Hardy and Rogers, Suzuki, and others have been generalized in this work. We also offer a demonstrative example and an application of fractional differential equations to validate the findings.