Fixed Point Results of Hardy-Rogers-Type Contraction in Generalized Metric Space via Interpolation

Abstract

In this manuscript, a new concept of interpolative contraction, namely interpolative Hardy-Rogers-type (G-µ)-contraction is introduced and some fixed point results in generalized metric space that are not deducible from their akin in metric space are obtained. The preeminence of this class of contractions is that it complements and subsumes a few corresponding notions in the literature. Consequently, substantial examples are constructed to validate the assumptions of our obtained theorems and to show their distinction from corresponding results.