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- Title
Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions.
- Authors
Ali, Basit; Abbas, Mujahid; Sen, Manuel de la
- Abstract
In this article, we present a completeness characterization of b ∼ 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 ∼ metric spaces and (b) to establish completeness of a b ∼ 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.
- Subjects
TOPOLOGICAL property; COMPLETENESS theorem; SPACE; METRIC spaces
- Publication
Discrete Dynamics in Nature & Society, 2020, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2020/5183291