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
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945196488&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54635
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-54635
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spelling	th-cmuir.6653943832-546352018-09-04T10:19:05Z 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 Mathematics © 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. 2018-09-04T10:19:05Z 2018-09-04T10:19:05Z 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/6653943832/54635
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics 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/6653943832/54635
_version_	1681424357094588416

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

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