关于非自反空间内的自对偶Lagrange凸泛函  

On the Self-dual Lagrangian Convex Function within the Non-reflexive Space

作　　者：蒋平川[1] 王伟[1] 

机构地区：[1]广东工业大学应用数学学院,广东广州510520

出　　处：《广东工业大学学报》2013年第4期107-110,共4页Journal of Guangdong University of Technology

摘　　要：从自反空间中下半连续凸泛函极值的存在性出发,推广到非自反空间中.利用凸泛函在非自反空间的弱*下半连续,或弱*上方下半连续性,得出一些结论.然后把这些结果应用到Lagrange凸泛函中,得出非自反空间中的Lagrange凸泛函也具有自对偶性及相关推论.It starts from the existence of the lower semi-continuous convex functional extremum in the re flexive space, and moves on to the non-reflexive space. Some conclusions were drawn, based on the weak star lower semi-continuous property, or the weak star lower semi-continuous from above property of convex function in the non-reflexive space. These results were applied to the lagrangian convex function. It draws the conclusion that the lagrangian convex function also has the self-dual property.

关 键 词：弱＊下半连续 弱＊上方下半连续 自对偶的Lagrange凸泛函 

分 类 号：O177.91[理学—数学]