Approximation Methods for Solving Equilibrium Problems and Variational Inequality Problems of an Inflnite Family of Nonexpansive Mappings 1
Prapanporn Rattana · 2010
In this paper, we introduce an iterative scheme by a modifled hybrid extragradient method for flnding a common element of the set of flxed points of a countable family of nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality for fi-inverse-strongly monotone mappings in a real Hilbert space. We show that the iterative sequence converges strongly to a common element of the above three sets, which solves some flxed