VISCOSITY-PROJECTION METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND ASYMPTOTICALLY STRICT PSEUDOCONTRACTIVE MAPPINGS
Wen Daoju · Xitong kexue yu shuxue · 2014
In this paper,a viscosity-projection method is proposed by a Meir-Keeler contraction for approximating a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a asymptotically strict pseudo-contractive mapping.Strong convergence theorems of the iterative sequences are obtained in a real Hilbert space,which remove some iterative controlling conditions and the uniformly asymptotically regular property of the primary mapping in convergence analysis.