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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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 |
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© 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. |
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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 |
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2017 |
url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018443705&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/41228 |
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1681421963428364288 |