广义Minty似变分不等式解的性质  

Properties of the Solution in Generalized Minty Variational-like Inequalities

作　　者：肖红[1] 

机构地区：[1]韩山师范学院,基础教育师资系,广东潮州521041

出　　处：《西南大学学报（自然科学版）》2010年第10期126-131,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60574075)

摘　　要：在拓扑向量空间中分别讨论了下Dini方向导数形式的广义Minty似变分不等式的解、优化问题的解与径向递减函数之间的关系问题,以及Minty似变分不等式的解集的仿射性质.Some relations between solutions of generalized Minty variational-like inequalities with the form of lower Dini directional derivative and of optimization problems, as well as radial decrease properties of functions are investigated in topological vector space. Moreover, the affine solution sets of Minty variational-like inequalities are presented.

关 键 词：似变分不等式 不变凸集 不变凸函数 径向递减函数 

分 类 号：O177.91[理学—数学]