Convergence of a proximal point algorithm for maximal monotone operators in Hilbert spaces
In this article, we consider the proximal point algorithm for the problem of approximating zeros of maximal monotone mappings. Strong convergence theorems for zero points of maximal monotone mappings are established in the framework of Hilbert spaces. 2000 AMS Subject Classification: 47H05; 47H09; 4...
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| Vydané v: | Journal of inequalities and applications Ročník 2012; číslo 1; s. 1 |
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| Médium: | Journal Article |
| Jazyk: | English |
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Springer International Publishing
13.06.2012
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| Abstract | In this article, we consider the proximal point algorithm for the problem of approximating zeros of maximal monotone mappings. Strong convergence theorems for zero points of maximal monotone mappings are established in the framework of Hilbert spaces.
2000 AMS Subject Classification:
47H05; 47H09; 47J25. |
|---|---|
| AbstractList | In this article, we consider the proximal point algorithm for the problem of approximating zeros of maximal monotone mappings. Strong convergence theorems for zero points of maximal monotone mappings are established in the framework of Hilbert spaces.
2000 AMS Subject Classification:
47H05; 47H09; 47J25. In this article, we consider the proximal point algorithm for the problem of approximating zeros of maximal monotone mappings. Strong convergence theorems for zero points of maximal monotone mappings are established in the framework of Hilbert spaces. 2000 AMS Subject Classification: 47H05; 47H09; 47J25.[PUBLICATION ABSTRACT] |
| ArticleNumber | 137 |
| Author | Wei, Zhiqiang Shi, Guohong |
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| Copyright | Wei and Shi; licensee Springer. 2012. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Springer International Publishing AG 2012 |
| Copyright_xml | – notice: Wei and Shi; licensee Springer. 2012. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. – notice: Springer International Publishing AG 2012 |
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| Keywords | zero nonexpansive mapping maximal monotone mapping fixed point |
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| Title | Convergence of a proximal point algorithm for maximal monotone operators in Hilbert spaces |
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