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变分不等式的新超梯度迭代法
A New Extragradient Iterative Method for Variational Iequalities
【摘要】 引入了求解变分不等式的新的超梯度法,证明了由算法所生成迭代序列强收敛于非扩张映射不动点集合与变分不等式解集合的公共元素.方法和结果推广了这一领域内一些已知结果.
【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;
【Key words】 variational inequality; common elements; extragradient method; cocoercive mappings;
【基金】 重庆市自然科学基金(CSTC2010BB9401);重庆市教委科研基金(KJ110509)资助项目
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2012年01期
- 【分类号】O178
- 【被引频次】2
- 【下载频次】79