Fixed Points of Multivalued G-Nonexpansive Mappings in Hadamard Spaces Endowed with Graphs

A fixed-point theorem for multivalued G-nonexpansive mappings in Hadamard spaces is proved. The strong convergence theorems of Browder’s and Halpern’s iterations are also established. Our results generalize and improve the results of Tiammee et al. (2015), Alfuraidan and Khamsi (2015), Anakkamatee a...

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Main Author: Bancha Panyanak
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/5849262
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author Bancha Panyanak
author_facet Bancha Panyanak
author_sort Bancha Panyanak
collection DOAJ
description A fixed-point theorem for multivalued G-nonexpansive mappings in Hadamard spaces is proved. The strong convergence theorems of Browder’s and Halpern’s iterations are also established. Our results generalize and improve the results of Tiammee et al. (2015), Alfuraidan and Khamsi (2015), Anakkamatee and Tongnoi (2019), and many others.
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institution Kabale University
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publishDate 2020-01-01
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spelling doaj-art-02cea31fc3854be9af905b82101d76102025-02-03T05:51:13ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/58492625849262Fixed Points of Multivalued G-Nonexpansive Mappings in Hadamard Spaces Endowed with GraphsBancha Panyanak0Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandA fixed-point theorem for multivalued G-nonexpansive mappings in Hadamard spaces is proved. The strong convergence theorems of Browder’s and Halpern’s iterations are also established. Our results generalize and improve the results of Tiammee et al. (2015), Alfuraidan and Khamsi (2015), Anakkamatee and Tongnoi (2019), and many others.http://dx.doi.org/10.1155/2020/5849262
spellingShingle Bancha Panyanak
Fixed Points of Multivalued G-Nonexpansive Mappings in Hadamard Spaces Endowed with Graphs
Journal of Function Spaces
title Fixed Points of Multivalued G-Nonexpansive Mappings in Hadamard Spaces Endowed with Graphs
title_full Fixed Points of Multivalued G-Nonexpansive Mappings in Hadamard Spaces Endowed with Graphs
title_fullStr Fixed Points of Multivalued G-Nonexpansive Mappings in Hadamard Spaces Endowed with Graphs
title_full_unstemmed Fixed Points of Multivalued G-Nonexpansive Mappings in Hadamard Spaces Endowed with Graphs
title_short Fixed Points of Multivalued G-Nonexpansive Mappings in Hadamard Spaces Endowed with Graphs
title_sort fixed points of multivalued g nonexpansive mappings in hadamard spaces endowed with graphs
url http://dx.doi.org/10.1155/2020/5849262
work_keys_str_mv AT banchapanyanak fixedpointsofmultivaluedgnonexpansivemappingsinhadamardspacesendowedwithgraphs