利用Meir-Keeler压缩映象,定义了一个关于广义平衡问题和渐近严格伪压缩映象的粘滞-投影方法,在Hilbert空间中建立逼近广义平衡问题的解和渐近严格伪压缩映象不动点的强收敛定理,并在收敛性分析中去掉了部分迭代控制条件和映象的渐近正则性等.

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 gen-
eralized 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.