On general systems of variational inequalities

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• 作者：Lu-Chuan Ceng ; Zhao-Rong Kong ; Ching-Feng Wen
• 关键词：Hierarchical fixed points ; Equilibrium problem ; Nonexpansive mapping ; Strict pseudocontraction ; Contraction ; General system of variational inequalities
• 刊名：Computers and Mathematics with Applications
• 出版年：2013
• 出版时间：November, 2013
• 年：2013
• 卷：66
• 期：8
• 页码：1514-1532
• 全文大小：435 K

文摘

In this paper, we present a new relaxed viscosity approximation method, and prove the strong convergence of the method to a common fixed point of finitely many nonexpansive mappings and a strict pseudocontraction that also solves a suitable equilibrium problem and a general system of variational inequalities.