Strong convergence of a hybrid method for pseudomonotone variational inequalities and fixed point problems
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Open Access
|May 2013
Abstract
In this paper, we suggest a hybrid method for finding a common element of the set of solution of a pseudomonotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings. The proposed iterative method combines two well-known methods: extragradient method and CQ method. We derive a necessary and sufficient condition for the strong convergence of the sequences generated by the proposed method.
Language: English
Page range: 489 - 504
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2013 Xin Yu, Yonghong Yao, Yeong-Cheng Liou, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.