Open Access Research Article

A Method for a Solution of Equilibrium Problem and Fixed Point Problem of a Nonexpansive Semigroup in Hilbert's Spaces

Nguyen Buong1* and NguyenDinh Duong2

Author Affiliations

1 Vietnamese Academy of Science and Technology, Institute of Information Technology, 18 Hoang Quoc Viet Road, Cau Giay, Hanoi, Vietnam

2 Department of Mathematics, Vietnam Maritime University, Hai Phong 35000, Vietnam

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Fixed Point Theory and Applications 2011, 2011:208434 doi:10.1155/2011/208434

Published: 15 February 2011

Abstract

We introduce a viscosity approximation method for finding a common element of the set of solutions for an equilibrium problem involving a bifunction defined on a closed, convex subset and the set of fixed points for a nonexpansive semigroup on another one in Hilbert's spaces.