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...

Full description

Saved in:
Bibliographic Details
Main Authors: Suwannaprapa M., Petrot N., Suantai S.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018443705&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/41228
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
id th-cmuir.6653943832-41228
record_format dspace
spelling th-cmuir.6653943832-412282017-09-28T04:20:07Z Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces Suwannaprapa M. Petrot N. Suantai S. © 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. 2017-09-28T04:20:07Z 2017-09-28T04:20:07Z 2016-12-01 Journal 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/6653943832/41228
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
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 Suwannaprapa M.
Petrot N.
Suantai S.
spellingShingle Suwannaprapa M.
Petrot N.
Suantai S.
Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
author_facet Suwannaprapa M.
Petrot N.
Suantai S.
author_sort Suwannaprapa M.
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 2017
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018443705&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/41228
_version_ 1681421963428364288