East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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AN ITERATIVE METHOD FOR SOLVING EQUILIBRIUM PROBLEM FIXED POINT PROBLEM AND GENERALIZED VARIATIONAL INEQUALITIES PROBLEM

  • Zhang, Lijuan (College of Mathematics and Computer, Hebei University) ;
  • Li, Juchun (Baoding Xiangyang Aviation Precision Machinery Co., Ltd.)
  • Received : 2010.11.20
  • Accepted : 2011.11.08
  • Published : 2011.11.30
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Abstract

In this paper, we introduce a new iterative scheme for finding a common element of the set of an equilibrium problem, the set of fixed points of nonexpansive mapping and the set of solutions of the generalized variational inequality for ${\alpha}$-inverse strongly g-monotone mapping in a Hilbert space. Under suitable conditions, strong convergence theorems for approximating a common element of the above three sets are obtained.

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