On Fixed Point of Quasi Contraction With Application to Integral Equation

Abstract

It is observed from the surveyed literature that there is no sufficient study of quasi-weakly contractive operators in the context of b−metric-like spaces. From this background information, this paper introduces a new unified no tion of quasi-weakly contractive operator in b−metric-like space and examines the existence and uniqueness of invariant points of such operators. The idea put forward herewith subsumes a few known results in the literature. A few corollaries which reduce our findings to other famous ideas are presented and discussed.