An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces

© 2019, Tusi Mathematical Research Group (TMRG). In this article, we introduce an explicit parallel algorithm for finding a common element of zeros of the sum of two accretive operators and the set of fixed point of a nonexpansive mapping in the framework of Banach spaces. We prove its strong conver...

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Main Authors:	Prasit Cholamjiak, Suthep Suantai, Pongsakorn Sunthrayuth
Format:	Journal
Published:	2020
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079750239&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68465
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-68465
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spelling	th-cmuir.6653943832-684652020-04-02T15:27:46Z An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces Prasit Cholamjiak Suthep Suantai Pongsakorn Sunthrayuth Mathematics © 2019, Tusi Mathematical Research Group (TMRG). In this article, we introduce an explicit parallel algorithm for finding a common element of zeros of the sum of two accretive operators and the set of fixed point of a nonexpansive mapping in the framework of Banach spaces. We prove its strong convergence under some mild conditions. Finally, we provide some applications to the main result. The results presented in this paper extend and improve the corresponding results in the literature. 2020-04-02T15:27:46Z 2020-04-02T15:27:46Z 2020-01-01 Journal 17358787 2-s2.0-85079750239 10.1007/s43037-019-00030-4 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079750239&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68465
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Prasit Cholamjiak Suthep Suantai Pongsakorn Sunthrayuth An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
description	© 2019, Tusi Mathematical Research Group (TMRG). In this article, we introduce an explicit parallel algorithm for finding a common element of zeros of the sum of two accretive operators and the set of fixed point of a nonexpansive mapping in the framework of Banach spaces. We prove its strong convergence under some mild conditions. Finally, we provide some applications to the main result. The results presented in this paper extend and improve the corresponding results in the literature.
format	Journal
author	Prasit Cholamjiak Suthep Suantai Pongsakorn Sunthrayuth
author_facet	Prasit Cholamjiak Suthep Suantai Pongsakorn Sunthrayuth
author_sort	Prasit Cholamjiak
title	An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
title_short	An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
title_full	An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
title_fullStr	An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
title_full_unstemmed	An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
title_sort	explicit parallel algorithm for solving variational inclusion problem and fixed point problem in banach spaces
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079750239&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68465
_version_	1681426824869969920

An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces

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