Articles

APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS

  • Sun Young Cho ,
  • Shin Min Kang
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  • Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Korea

Received date: 2010-03-23

  Revised date: 2011-11-01

  Online published: 2012-07-20

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.

Cite this article

Sun Young Cho , Shin Min Kang . APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1607 -1618 . DOI: 10.1016/S0252-9602(12)60127-1

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