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2012 Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space
Hongjie Liu, Junqing Wang, Qiansheng Feng
Abstr. Appl. Anal. 2012: 1-11 (2012). DOI: 10.1155/2012/917857

Abstract

We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka and Takahashi (2011) proved weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space; there we introduced new iterative algorithms and got some strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space.

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Hongjie Liu. Junqing Wang. Qiansheng Feng. "Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/917857

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1255.47066
MathSciNet: MR2999924
Digital Object Identifier: 10.1155/2012/917857

Rights: Copyright © 2012 Hindawi

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