变分包含与平衡问题公解的迭代算法  

Iterative Algorithm of Common Solutions for Equilibrium Problems and Variational Inclusion Problems

作　　者：徐天华[1] 

机构地区：[1]四川民族学院数学系,四川康定626001

出　　处：《西南大学学报（自然科学版）》2009年第10期138-142,共5页Journal of Southwest University(Natural Science Edition)

摘　　要：在Hilbert空间的框架下,为寻求具多值极大单调映象和逆强单调映象的变分包含的解集、平衡问题的解集与无限簇非扩张映象的不动点集的公共元,引入和研究了一种新的迭代算法.在一定的条件下,用黏性逼近法证明了序列逼近于这一公共元的强收敛定理.In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of the variational inclusion problem with multi-valued maximal monotone mapping and inversestrongly monotone mappings, the set of solutions of equilibrium problems and the set of common fixed point for a family of infinite nonexpansive maps in Hilbert space. It is shown that under suitable conditions by the viscosity approximation algorithms, tome strong convergence theorems for approximating to this common elements are proved.

关 键 词：黏性逼近 变分包含 平衡问题 非扩张映象 不动点 

分 类 号：O177.91[理学—数学]