Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions
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 sp...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/5183291 |
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| author | Basit Ali Mujahid Abbas Manuel de la Sen |
| author_facet | Basit Ali Mujahid Abbas Manuel de la Sen |
| author_sort | Basit Ali |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e75257963b274f5d8e3b84b2441a7161 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e75257963b274f5d8e3b84b2441a71612025-02-03T01:04:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/51832915183291Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued QuasicontractionsBasit Ali0Mujahid Abbas1Manuel de la Sen2Department of Mathematics, School of Sciences, University of Management and Technology, C-II, Johar Town, Lahore 54770, PakistanDepartment of Mathematics, Government College University, Lahore 54000, PakistanInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644- Bilbao, Barrio Sarriena, Leioa 48940, SpainIn 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.http://dx.doi.org/10.1155/2020/5183291 |
| spellingShingle | Basit Ali Mujahid Abbas Manuel de la Sen Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions Discrete Dynamics in Nature and Society |
| title | Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions |
| title_full | Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions |
| title_fullStr | Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions |
| title_full_unstemmed | Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions |
| title_short | Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions |
| title_sort | completeness of b∼metric spaces and the fixed points of generalized multivalued quasicontractions |
| url | http://dx.doi.org/10.1155/2020/5183291 |
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