The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs

© 2020, Springer Nature Switzerland AG. Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient conditi...

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Main Author: Bancha Panyanak
Format: Journal
Published: 2020
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-706902020-10-14T08:39:29Z The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs Bancha Panyanak Mathematics © 2020, Springer Nature Switzerland AG. Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient conditions for the existence of solutions of the variational inequality problem in this setting. Our results generalize and improve many results in the literature. 2020-10-14T08:39:29Z 2020-10-14T08:39:29Z 2020-12-01 Journal 16617746 16617738 2-s2.0-85091751783 10.1007/s11784-020-00829-x https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091751783&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70690
institution Chiang Mai University
building Chiang Mai University Library
continent Asia
country Thailand
Thailand
content_provider Chiang Mai University Library
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Bancha Panyanak
The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs
description © 2020, Springer Nature Switzerland AG. Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient conditions for the existence of solutions of the variational inequality problem in this setting. Our results generalize and improve many results in the literature.
format Journal
author Bancha Panyanak
author_facet Bancha Panyanak
author_sort Bancha Panyanak
title The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs
title_short The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs
title_full The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs
title_fullStr The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs
title_full_unstemmed The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs
title_sort viscosity approximation method for multivalued g-nonexpansive mappings in hadamard spaces endowed with graphs
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091751783&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/70690
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