Fixed Point of Interpolative Contraction on Metric Space Endowed with Graph

Abstract

In this manuscript, a new concept of interpolative contraction, namely interpolative Kannantype (G-α-µ)-contraction is introduced in metric space endowed with a graph and novel conditions for which the new mapping is a Picard operator are investigated. The preeminence of this type of contraction is that it complements and subsumes a few corresponding notions in the literature. Substantial examples are constructed to validate the assumptions of our obtained results and to show their distinction from the existing ones.