四川师范大学学报（自然科学版）2011，Vol.34Issue(1)：13-19,7.DOI:10.3969/j.issn.1001-8395.2011.01.003
Banach空间中广义混合变分不等式解的迭代算法
Iterative Algorithm for Solving Generalized Mixed Variational Inequalities in Banach Spaces
摘要
Abstract
By using the proximal point method introduced by Burachik and Scheimberg( SIAM J Control Optim,2001,39(5 ) :1633 - 1649.) and the Bregman function, we construct an iterative algorithm for finding the approximate solutions of a class of generalized mixed variational inequalities in reflexive Banach spaces.We prove that the sequence of approximate solutions is well-defined and converges weakly to the exact solution of the generalized mixed variational inequality.We also give a sufficient and necessary condition for the existence of solution of the generalized mixed variational inequality.关键词
迭代算法/近似点算法/Bregman距离/仿单调算子/伪单调算子Key words
Iterative schemes/ proximal point algorithm/ Bregman distance/ paramonotone operator/ pseudomonotone operator分类
数理科学引用本文复制引用
李艳,夏福全..Banach空间中广义混合变分不等式解的迭代算法[J].四川师范大学学报（自然科学版）,2011,34(1):13-19,7.基金项目
四川省教育厅自然科学青年基金(07ZB068)资助项目 （07ZB068）
