Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842197 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 10 Pages |
Abstract
In this paper, we introduce a new viscosity approximation scheme based on the extragradient method for finding a common element of the set of solutions to a system of equilibrium problems, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions to the variational inequality for a monotone, Lipschitz continuous mapping. Several convergence results for the sequences generated by these processes in Hilbert spaces were derived.
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Authors
Jian-Wen Peng, Jen-Chih Yao,