Strong Convergence Theorem for a Generalized Equilibrium Problem and Fixed Point Problem for an Infinite Family of Nonexpansive Mappings in a Hilbert Space
Jinfang Tang · Mathematica Applicata · 2011
By using the Fan KKM lemma,the existence and uniqueness of solution of the auxiliary problem for GEP is derived.A iterative method for finding a common element of the set of solution of a generalized equilibrium problem and the set of fixed points for an infinite family of nonexpansive mappings in a Hilbert space is induced.Under suitable conditions a strong convergence theorem is proved.The results presented in the paper extend and improved some recent results.