Completeness of \(b\sim\) metric spaces and the fixed points of generalized multivalued quasicontractions
Summary: In this article, we present a completeness characterization of \(b\sim\) metric space via existence of fixed points of generalized multivalued quasicontractions. The purpose of this paper is twofold: (a) to establish the existence of fixed points of multivalued quasicontractions in the setup of \(b\sim\) metric spaces and (b) to establish completeness of a \(b\sim\) metric space which is a topological property in nature with existence of fixed points of generalized multivalued quasicontractions. Further, a comparison of our results with comparable results shows that the results obtained herein improve and unify the existing results in the literature applicable to the case where existing results fail.
scientific article; zbMATH DE number 7260917
scientific article