APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS

作     者：Sun Young Cho Shin Min Kang 

作者机构：Department of Mathematics and RINS Gyeongsang National UniversityJinju 660-701 Korea 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2012年第32卷第4期

页      面：1607-1618页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：fixed point inverse-strongly monotone mapping nonexpansive mapping variational inequality 

摘      要：In this paper, a convex feasibility problem is considered. We construct an iterative method to approximate a common element of the solution set of classical variational inequalities and of the fixed point set of a strict pseudocontraction. Strong convergence theorems for the common element are established in the framework of Hilbert spaces.