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2009 Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces
Somyot Plubtieng, Wanna Sriprad
Abstr. Appl. Anal. 2009: 1-20 (2009). DOI: 10.1155/2009/795432

Abstract

We prove strong and weak convergence theorems for a new resolvent of maximal monotone operators in a Banach space and give an estimate of the convergence rate of the algorithm. Finally, we apply our convergence theorem to the convex minimization problem. The result present in this paper extend and improve the corresponding result of Ibaraki and Takahashi (2007), and Kim and Xu (2005).

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Somyot Plubtieng. Wanna Sriprad. "Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces." Abstr. Appl. Anal. 2009 1 - 20, 2009. https://doi.org/10.1155/2009/795432

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1186.47074
MathSciNet: MR2525908
Digital Object Identifier: 10.1155/2009/795432

Rights: Copyright © 2009 Hindawi

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