On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs

© 2015, Tiammee et al. In this paper, we prove Browder’s convergence theorem for G-nonexpansive mappings in a Hilbert space with a directed graph. Moreover, we also prove strong convergence of the Halpern iteration process to a fixed point of G-nonexpansive mappings in a Hilbert space endowed with a...

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Main Authors: Jukrapong Tiammee, Attapol Kaewkhao, Suthep Suantai
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/43999
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-439992018-04-25T07:44:36Z On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs Jukrapong Tiammee Attapol Kaewkhao Suthep Suantai Agricultural and Biological Sciences © 2015, Tiammee et al. In this paper, we prove Browder’s convergence theorem for G-nonexpansive mappings in a Hilbert space with a directed graph. Moreover, we also prove strong convergence of the Halpern iteration process to a fixed point of G-nonexpansive mappings in a Hilbert space endowed with a directed graph. The main results obtained in this paper extend and generalize many well-known results in the literature. 2018-01-24T04:36:54Z 2018-01-24T04:36:54Z 2015-12-01 Journal 16871812 16871820 2-s2.0-84945196488 10.1186/s13663-015-0436-9 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945196488&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43999
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Agricultural and Biological Sciences
spellingShingle Agricultural and Biological Sciences
Jukrapong Tiammee
Attapol Kaewkhao
Suthep Suantai
On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs
description © 2015, Tiammee et al. In this paper, we prove Browder’s convergence theorem for G-nonexpansive mappings in a Hilbert space with a directed graph. Moreover, we also prove strong convergence of the Halpern iteration process to a fixed point of G-nonexpansive mappings in a Hilbert space endowed with a directed graph. The main results obtained in this paper extend and generalize many well-known results in the literature.
format Journal
author Jukrapong Tiammee
Attapol Kaewkhao
Suthep Suantai
author_facet Jukrapong Tiammee
Attapol Kaewkhao
Suthep Suantai
author_sort Jukrapong Tiammee
title On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_short On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_full On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_fullStr On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_full_unstemmed On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_sort on browder’s convergence theorem and halpern iteration process for g-nonexpansive mappings in hilbert spaces endowed with graphs
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945196488&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43999
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