Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure

Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure

The aim of this paper is to introduce the notion of admissible multivalued mappings and to set up fixed point results for such mappings fulfilling generalized locally Ćirić type rational-contractive conditions on a closed ball in complete dislocated b-metric space. Example and application have been...

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Main Authors: Tahair Rasham, Abdullah Shoaib, Badriah A. S. Alamri, Muhammad Arshad
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2018/5816364
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spelling doaj-047638f7a6ee47b7b60e891e9c38c4382020-11-24T23:52:01ZengHindawi LimitedJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/58163645816364Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic StructureTahair Rasham0Abdullah Shoaib1Badriah A. S. Alamri2Muhammad Arshad3Department of Mathematics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, Riphah International University, Islamabad 44000, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, International Islamic University, H-10, Islamabad 44000, PakistanThe aim of this paper is to introduce the notion of admissible multivalued mappings and to set up fixed point results for such mappings fulfilling generalized locally Ćirić type rational-contractive conditions on a closed ball in complete dislocated b-metric space. Example and application have been given to demonstrate the novelty of our results. Our results combine, extend, and infer several comparable results in the existing literature.http://dx.doi.org/10.1155/2018/5816364
collection DOAJ
language English
format Article
sources DOAJ
author Tahair Rasham
Abdullah Shoaib
Badriah A. S. Alamri
Muhammad Arshad
spellingShingle Tahair Rasham
Abdullah Shoaib
Badriah A. S. Alamri
Muhammad Arshad
Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure
Journal of Mathematics
author_facet Tahair Rasham
Abdullah Shoaib
Badriah A. S. Alamri
Muhammad Arshad
author_sort Tahair Rasham
title Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure
title_short Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure
title_full Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure
title_fullStr Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure
title_full_unstemmed Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure
title_sort fixed point results for multivalued contractive mappings endowed with graphic structure
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2018-01-01
description The aim of this paper is to introduce the notion of admissible multivalued mappings and to set up fixed point results for such mappings fulfilling generalized locally Ćirić type rational-contractive conditions on a closed ball in complete dislocated b-metric space. Example and application have been given to demonstrate the novelty of our results. Our results combine, extend, and infer several comparable results in the existing literature.
url http://dx.doi.org/10.1155/2018/5816364
work_keys_str_mv AT tahairrasham fixedpointresultsformultivaluedcontractivemappingsendowedwithgraphicstructure
AT abdullahshoaib fixedpointresultsformultivaluedcontractivemappingsendowedwithgraphicstructure
AT badriahasalamri fixedpointresultsformultivaluedcontractivemappingsendowedwithgraphicstructure
AT muhammadarshad fixedpointresultsformultivaluedcontractivemappingsendowedwithgraphicstructure
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