Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications

Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications

The aim of this research work is to find out some results in fixed point theory for a pair of families of multivalued mappings fulfilling a new type of U-contractions in modular-like metric spaces. Some new results in graph theory for multigraph-dominated contractions in modular-like metric spaces a...

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Main Authors: Tahair Rasham, Abdullah Shoaib, Choonkil Park, Manuel de la Sen, Hassen Aydi, Jung Rye Lee
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/2690452
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spelling doaj-c4b3fe04f7e546349a6470867ea26d592020-11-30T09:11:23ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/26904522690452Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with ApplicationsTahair Rasham0Abdullah Shoaib1Choonkil Park2Manuel de la Sen3Hassen Aydi4Jung Rye Lee5Department of Mathematics, Faculty of Science and Technology, Women University of Azad Jammu and Kashmir, Bagh, PakistanDepartment of Mathematics and Statistics, Riphah International University, Islamabad, PakistanResearch Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of KoreaInstitute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P. O. Box 48940, Leioa, 48940 Bizkaia, SpainUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Mathematics, Daejin University, Kyunggi 11159, Republic of KoreaThe aim of this research work is to find out some results in fixed point theory for a pair of families of multivalued mappings fulfilling a new type of U-contractions in modular-like metric spaces. Some new results in graph theory for multigraph-dominated contractions in modular-like metric spaces are developed. An application has been presented to ensure the uniqueness and existence of a solution of families of nonlinear integral equations.http://dx.doi.org/10.1155/2020/2690452
collection DOAJ
language English
format Article
sources DOAJ
author Tahair Rasham
Abdullah Shoaib
Choonkil Park
Manuel de la Sen
Hassen Aydi
Jung Rye Lee
spellingShingle Tahair Rasham
Abdullah Shoaib
Choonkil Park
Manuel de la Sen
Hassen Aydi
Jung Rye Lee
Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications
Complexity
author_facet Tahair Rasham
Abdullah Shoaib
Choonkil Park
Manuel de la Sen
Hassen Aydi
Jung Rye Lee
author_sort Tahair Rasham
title Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications
title_short Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications
title_full Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications
title_fullStr Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications
title_full_unstemmed Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications
title_sort multivalued fixed point results for two families of mappings in modular-like metric spaces with applications
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description The aim of this research work is to find out some results in fixed point theory for a pair of families of multivalued mappings fulfilling a new type of U-contractions in modular-like metric spaces. Some new results in graph theory for multigraph-dominated contractions in modular-like metric spaces are developed. An application has been presented to ensure the uniqueness and existence of a solution of families of nonlinear integral equations.
url http://dx.doi.org/10.1155/2020/2690452
work_keys_str_mv AT tahairrasham multivaluedfixedpointresultsfortwofamiliesofmappingsinmodularlikemetricspaceswithapplications
AT abdullahshoaib multivaluedfixedpointresultsfortwofamiliesofmappingsinmodularlikemetricspaceswithapplications
AT choonkilpark multivaluedfixedpointresultsfortwofamiliesofmappingsinmodularlikemetricspaceswithapplications
AT manueldelasen multivaluedfixedpointresultsfortwofamiliesofmappingsinmodularlikemetricspaceswithapplications
AT hassenaydi multivaluedfixedpointresultsfortwofamiliesofmappingsinmodularlikemetricspaceswithapplications
AT jungryelee multivaluedfixedpointresultsfortwofamiliesofmappingsinmodularlikemetricspaceswithapplications
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