变分包含与非扩张映象不动点问题公解的黏性算法  

Viscosity Approximation Algorithm of Common Solutions for Fixed Points of Nonexpansive Mappings and Variational Inclusion Problems

作　　者：赵良才[1] 肖辉成[1] 

机构地区：[1]宜宾学院数学系,四川宜宾644000

出　　处：《四川师范大学学报（自然科学版）》2010年第1期62-68,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10701059);四川省教育厅自然科学重点基金(2004A185)资助项目

摘　　要：在Hilbert空间中引入和研究了一种新的迭代算法,用以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与非扩张映象的不动点集的公共元.在适当的条件下,用黏性逼近算法证明了逼近于这一公共元的某些强收敛定理.所得结果改进和推广了文献的相应结果.In this paper,we introduce a new iterative scheme for finding a common element of the set of solutions for the variational inclusion problem with multi-valued maximal monotone mapping and inverse-strongly monotone mappings and the set of common fixed point for a nonexpansive mappings in Hilbert space.It is shown that under suitable conditions by the viscosity approximation algorithms,some strong convergence theorems for approximating to this common elements are proved.The results presented in the paper extend and improve some recent results.

关 键 词：变分包含 非扩张映象 黏性逼近 多值极大单调映象 逆-强单调映象 不动点 

分 类 号：O177.91[理学—数学]