四川师范大学学报(自然科学版)2012,Vol.35Issue(1):12-15,4.DOI:10.3969/j.issn.1001-8395.2012.01.003
变分不等式的新超梯度迭代法
A New Extragradient Iterative Method for Variational Iequalities
摘要
Abstract
In this paper, we introduce a new extragradient iterative method for variational iequalities. We show that the sequence converges strongly to the common element of the set of fixed points of nonexpansive mappings and the set of solutions of variational iequalities. Our approach and results are new and generalize many known results in this field.关键词
变分不等式/公共元素/超梯度法/余强制映射Key words
variational inequality/ common elements/ extragradient method/ cocoercive mappings分类
数理科学引用本文复制引用
陈胜兰,方长杰..变分不等式的新超梯度迭代法[J].四川师范大学学报(自然科学版),2012,35(1):12-15,4.基金项目
重庆市自然科学基金(CSTC2010BB9401)和重庆市教委科研基金(KJ110509)资助项目 (CSTC2010BB9401)