一般变分包含和不动点问题的黏性迭代算法  

Viscosity Iterative Algorithms for Common Solutions of Quasi Variational Inclusion and Fixed Point Problems

作　　者：雷贤才[1] 

机构地区：[1]宜宾学院数学学院,四川宜宾644007

出　　处：《数学的实践与认识》2011年第2期222-229,共8页Mathematics in Practice and Theory

摘　　要：借助黏性方法在Hilbert空间的框架下介绍一种迭代程序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及非扩张映象的不动点集的公共元.改进和推广了一些人的新结果.The purpose of this paper is by using the viscosity method to present an 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 fixed points of nonexpansive mappings in Hilbert space.The results presented in the paper improve and extend some recent results.

关 键 词：黏性法 变分包含 多值极大单调映象 逆强单调映象 度量投影 不动点 非扩张映象 

分 类 号：O177.91[理学—数学]