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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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2012; no. 1; p. 1
Main Authors Wei, Zhiqiang, Shi, Guohong
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 13.06.2012
Springer Nature B.V
Subjects
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
zero
nonexpansive mapping
maximal monotone mapping
fixed point
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ISSN1029-242X
1025-5834
1029-242X
DOI10.1186/1029-242X-2012-137

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Summary: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.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2012-137