一类变分问题及其应用  

A Type of Generalized Variation Inequality and its Applications

作　　者：薛西锋[1] 申卯兴[2] 

机构地区：[1]西北大学数学系 [2]空军工程大学导弹学院

出　　处：《空军工程大学学报（自然科学版）》2007年第1期92-94,共3页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(2003A10);陕西省教育厅自然科学专项基金资助项目(06JK170)

摘　　要：在Banach空间中,引入广义的广义变分问题,得出了广义变分问题的解的存在性,并把它应用到最优化中的非线性最小问题及鞍点问题。In Banach spaces, a generalized - variation inequality is introduced as an extension of the known or generalized meaning, i.e. as a generalized - generalized - variation inequality. Some properties, theoretical resuits and the solution existence theorem are proved, and its application is presented subsequently in the optimal field.

关 键 词：广义变分不等式 BANACH空间 η-单调 非线性最小问题 鞍点 

分 类 号：O224[理学—运筹学与控制论]