On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators
In this paper we consider a problem that consists of finding a zero to the sum of two monotone operators. One method for solving such a problem is the forward-backward splitting method. We present some new conditions that guarantee the weak convergence of the forward-backward method. Applications of...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/414031 |
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doaj-239dda98d68b4ce7987a8a4a59eb9eb32020-11-25T01:01:18ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/414031414031On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone OperatorsHongwei Jiao0Fenghui Wang1School of Mathematical Science, Henan Institute of Science and Technology, Xinxiang 453003, ChinaDepartment of Mathematics, Luoyang Normal University, Luoyang 471022, ChinaIn this paper we consider a problem that consists of finding a zero to the sum of two monotone operators. One method for solving such a problem is the forward-backward splitting method. We present some new conditions that guarantee the weak convergence of the forward-backward method. Applications of these results, including variational inequalities and gradient projection algorithms, are also considered.http://dx.doi.org/10.1155/2014/414031 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hongwei Jiao Fenghui Wang |
| spellingShingle |
Hongwei Jiao Fenghui Wang On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators Journal of Applied Mathematics |
| author_facet |
Hongwei Jiao Fenghui Wang |
| author_sort |
Hongwei Jiao |
| title |
On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators |
| title_short |
On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators |
| title_full |
On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators |
| title_fullStr |
On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators |
| title_full_unstemmed |
On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators |
| title_sort |
on an iterative method for finding a zero to the sum of two maximal monotone operators |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2014-01-01 |
| description |
In this paper we consider a problem that consists of finding a zero to the sum of two monotone operators. One method for solving such a problem is the forward-backward splitting method. We present some new conditions that guarantee the weak convergence of the forward-backward method. Applications of these results, including variational inequalities and gradient projection algorithms, are also considered. |
| url |
http://dx.doi.org/10.1155/2014/414031 |
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AT hongweijiao onaniterativemethodforfindingazerotothesumoftwomaximalmonotoneoperators AT fenghuiwang onaniterativemethodforfindingazerotothesumoftwomaximalmonotoneoperators |
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