Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs

Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs

© 2019 by the authors. In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota's theorem in a Hilbert space with a directed graph. Simult...

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Main Authors: Suthep Suantai, Mana Donganont, Watcharaporn Cholamjiak
Format: Journal
Published: 2020
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073723117&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67900
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Institution: Chiang Mai University
id th-cmuir.6653943832-67900
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spelling th-cmuir.6653943832-679002020-04-02T15:10:36Z Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs Suthep Suantai Mana Donganont Watcharaporn Cholamjiak Mathematics © 2019 by the authors. In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota's theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions. 2020-04-02T15:10:36Z 2020-04-02T15:10:36Z 2019-10-01 Journal 22277390 2-s2.0-85073723117 10.3390/math7100936 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073723117&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67900
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Suthep Suantai
Mana Donganont
Watcharaporn Cholamjiak
Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs
description © 2019 by the authors. In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota's theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions.
format Journal
author Suthep Suantai
Mana Donganont
Watcharaporn Cholamjiak
author_facet Suthep Suantai
Mana Donganont
Watcharaporn Cholamjiak
author_sort Suthep Suantai
title Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_short Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_full Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_fullStr Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_full_unstemmed Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs
title_sort hybrid methods for a countable family of g-nonexpansive mappings in hilbert spaces endowed with graphs
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073723117&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67900
_version_ 1681426720603766784

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