四川师范大学学报（自然科学版）2012，Vol.35Issue(4)：439-442,4.DOI:10.3969/j.issn.1001-8395.2012.04.002
伪单调变分不等式近似点算法的收敛性
Pseudomonotone Variational Inequalities: Convergence of Proximal Point Algorithm
摘要
Abstract
In this paper, we study the convergence of proximal point algorithm (PPA) for solving pseudomonotone (in the sense of Karamardian) variational inequalities. The subproblems of classical FPA use the square of norm to be the auxiliary function. We add a drfferetialble and strongly convex function to substitute for the square norm, then we study the general convergence of the algorithm based on pseudomonotonicity of the operator in a finite-dimensional and Hilbert space.关键词
变分不等式/伪单调/近似点收敛算法Key words
variational inequalities/ pseudomonotonicity/ convergence of proximal point algorithms分类
数理科学引用本文复制引用
常菲..伪单调变分不等式近似点算法的收敛性[J].四川师范大学学报（自然科学版）,2012,35(4):439-442,4.基金项目
国家自然科学基金(10701059)资助项目 （10701059）
