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广义变分不等式解存在的条件
Existence Condition of a Solution of General Variational Inequality Problem
【摘要】 考虑广义变分不等式问题,通过对广义变分不等式的K-K-T方程构造组合同伦方程,给出了同伦路径存在的条件,从而得到了无界区域上广义变分不等式有解的条件.
【Abstract】 We considered the general variational inequality problem.We constructed the combined homotopy equation for the K-K-T equation of the general variational inequality and gave an existence condition of the homotopy path so as to obtain an existence condition of a solution of the general variational inequality.
【关键词】 广义变分不等式;
变分不等式;
同伦方法;
【Key words】 general variational inequality; variational inequality; homotopy method;
【Key words】 general variational inequality; variational inequality; homotopy method;
【基金】 国家自然科学基金(批准号:51278065);吉林省自然科学基金(批准号:201215128;20130101061JC)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2015年06期
- 【分类号】O178
- 【下载频次】52