Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces

© 2017, The Author(s). In this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point problems. By assuming the existence of solutions, we provide a suit...

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Main Authors:	Montira Suwannaprapa, Narin Petrot, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018443705&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55933
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-55933
record_format	dspace
spelling	th-cmuir.6653943832-559332018-09-05T03:06:01Z Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces Montira Suwannaprapa Narin Petrot Suthep Suantai Mathematics © 2017, The Author(s). In this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point problems. By assuming the existence of solutions, we provide a suitable algorithm for finding a solution point. Some important applications and numerical experiments of the considered problem and constructed algorithm are also discussed. 2018-09-05T03:06:01Z 2018-09-05T03:06:01Z 2016-12-01 Journal 16871812 16871820 2-s2.0-85018443705 10.1186/s13663-017-0599-7 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018443705&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55933
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Montira Suwannaprapa Narin Petrot Suthep Suantai Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
description	© 2017, The Author(s). In this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point problems. By assuming the existence of solutions, we provide a suitable algorithm for finding a solution point. Some important applications and numerical experiments of the considered problem and constructed algorithm are also discussed.
format	Journal
author	Montira Suwannaprapa Narin Petrot Suthep Suantai
author_facet	Montira Suwannaprapa Narin Petrot Suthep Suantai
author_sort	Montira Suwannaprapa
title	Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
title_short	Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
title_full	Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
title_fullStr	Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
title_full_unstemmed	Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
title_sort	weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in hilbert spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018443705&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55933
_version_	1681424597824569344

Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces

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