APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS  被引量:4

APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS

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作  者:Sun Young Cho Shin Min Kang 

机构地区:[1]Department of Mathematics and RINS, Gyeongsang National University,Jinju 660-701, Korea

出  处:《Acta Mathematica Scientia》2012年第4期1607-1618,共12页数学物理学报(B辑英文版)

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.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.

关 键 词:fixed point inverse-strongly monotone mapping nonexpansive mapping variational inequality 

分 类 号:O177.1[理学—数学]

 

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