Approximating Iterations for Nonexpansive and Maximal Monotone Operators
We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the sum of two monotone operators and the fixed poin...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/451320 |
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| _version_ | 1832549409316929536 |
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| author | Zhangsong Yao Sun Young Cho Shin Min Kang Li-Jun Zhu |
| author_facet | Zhangsong Yao Sun Young Cho Shin Min Kang Li-Jun Zhu |
| author_sort | Zhangsong Yao |
| collection | DOAJ |
| description | We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the sum of two monotone operators and the fixed point of a nonexpansive operator. |
| format | Article |
| id | doaj-art-e6b3d8ffee0045aebad68cce6c3ebb00 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e6b3d8ffee0045aebad68cce6c3ebb002025-02-03T06:11:23ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/451320451320Approximating Iterations for Nonexpansive and Maximal Monotone OperatorsZhangsong Yao0Sun Young Cho1Shin Min Kang2Li-Jun Zhu3School of Mathematics & Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, ChinaDepartment of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaSchool of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan 750021, ChinaWe present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the sum of two monotone operators and the fixed point of a nonexpansive operator.http://dx.doi.org/10.1155/2015/451320 |
| spellingShingle | Zhangsong Yao Sun Young Cho Shin Min Kang Li-Jun Zhu Approximating Iterations for Nonexpansive and Maximal Monotone Operators Abstract and Applied Analysis |
| title | Approximating Iterations for Nonexpansive and Maximal Monotone Operators |
| title_full | Approximating Iterations for Nonexpansive and Maximal Monotone Operators |
| title_fullStr | Approximating Iterations for Nonexpansive and Maximal Monotone Operators |
| title_full_unstemmed | Approximating Iterations for Nonexpansive and Maximal Monotone Operators |
| title_short | Approximating Iterations for Nonexpansive and Maximal Monotone Operators |
| title_sort | approximating iterations for nonexpansive and maximal monotone operators |
| url | http://dx.doi.org/10.1155/2015/451320 |
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