广义平衡问题和渐近严格伪压缩映象的粘滞-投影方法  

VISCOSITY-PROJECTION METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND ASYMPTOTICALLY STRICT PSEUDOCONTRACTIVE MAPPINGS

作　　者：闻道君[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《系统科学与数学》2014年第6期693-702,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(11001287);重庆市自然科学基金项目(CSTC2012jjA00039);重庆市教委科技研究项目(KJ130712)资助课题

摘　　要：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 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.

关 键 词：广义平衡问题 渐近严格伪压缩映象 粘滞逼近 投影算子 Meir—Keeler压缩映象 

分 类 号：O177.91[理学—数学]