Convergence analysis of projection methods for a new system of general nonconvex variational inequalities

被引：0
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作者：
Dao-Jun Wen
Xian-Jun Long
Qian-Fen Gong
机构：
[1] College of Mathematics and Statistics,
[2] Chongqing Technology and Business University,undefined
[3] College of Computer Science and Information Engineering,undefined
[4] Chongqing Technology and Business University,undefined
来源：
Fixed Point Theory and Applications | / 2012卷
关键词：
system of general nonconvex variational inequalities; explicit projection methods; uniform prox-regular set; -strongly monotone mappings; -Lipschitz continuous.;
D O I：
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摘要：
In this article, we introduce and consider a new system of general nonconvex variational inequalities defined on uniformly prox-regular sets. We establish the equivalence between the new system of general nonconvex variational inequalities and the fixed point problems to analyze an explicit projection method for solving this system. We also consider the convergence of the projection method under some suitable conditions. Results presented in this article improve and extend the previously known results for the variational inequalities and related optimization problems.
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