Strong Convergence Theorem for a Generalized Equilibrium Problem and Fixed Points of a Finite Family of Nonexpansive Mappings in A Hilbert Space
Rudong Chen · Journal of Shangqiu Vocational and Technical College · 2009
In this paper,we introduce a new iterative scheme for finding the common element of the set of solutions of a generalized equilibrium problem and of the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space.This main theorem extends a recent result of Satoru Takahashi and WararuTakahashi[Satoru Takahashi,Wataru Takahashi,Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space,Nonlinear Analysis 69(2008)1025-1033].