Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640571 | Journal of Computational and Applied Mathematics | 2010 | 6 Pages |
Abstract
This paper considers the problem of finding a zero of the sum of a single-valued Lipschitz continuous mapping AA and a maximal monotone mapping BB in a closed convex set CC. We first give some projection-type methods and extend a modified projection method proposed by Solodov and Tseng for the special case of B=NCB=NC to this problem, then we give a refinement of Tseng’s method that replaces PCPC by PCkPCk. Finally, convergence of these methods is established.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jinling Zhao, Qingzhi Yang, Hongxiu Gao,