数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1607-1618.doi: 10.1016/S0252-9602(12)60127-1

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APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS

Sun Young Cho, Shin Min Kang*   

  1. Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Korea
  • 收稿日期:2010-03-23 修回日期:2011-11-01 出版日期:2012-07-20 发布日期:2012-07-20
  • 通讯作者: Shin Min Kang,smkang@gnu.ac.kr E-mail:ooly61@yahoo.co.kr; smkang@gnu.ac.kr

APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS

Sun Young Cho, Shin Min Kang*   

  1. Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Korea
  • Received:2010-03-23 Revised:2011-11-01 Online:2012-07-20 Published:2012-07-20
  • Contact: Shin Min Kang,smkang@gnu.ac.kr E-mail:ooly61@yahoo.co.kr; smkang@gnu.ac.kr

摘要:

In this paper, a convex feasibility problem is considered. We construct an iter-ative 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

Abstract:

In this paper, a convex feasibility problem is considered. We construct an iter-ative 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.

Key words: fixed point, inverse-strongly monotone mapping, nonexpansive mapping, variational inequality

中图分类号: 

  • 47H05