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 in:Journal of inequalities and applications Vol. 2012; no. 1; p. 1
Main Authors: Wei, Zhiqiang, Shi, Guohong
Format: Journal Article
Language:English
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
ISSN:1029-242X, 1025-5834, 1029-242X
Online Access:Get full text
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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