Strong convergence theorem for a generalized equilibrium problem and the fixed point problem of an infinite family nonexpansive mappings
MENG Fanying, Zeng Lu-chuan · DOAJ (DOAJ: Directory of Open Access Journals) · 2012
Using Fan-KKM Theorem,we prove the existence and uniqueness of the solution of the auxiliary problem for a generalized equilibrium problem.A common element of the solution set of the generalized equilibrium problem and the fixed point set for an infinite family of nonexpansive mappings can be achieved by an iterative sequence.