文献类型：会议论文

英文题名：Well posedness of generalized mutually maximization problem

作者：Ni, Ren-Xing[1]

机构：[1] Department of Mathematics, Shaoxing University, Shaoxing Zhejiang, 312000, China

会议论文集：ICIC 2010 - 3rd International Conference on Information and Computing

会议日期：June 4, 2010 - June 6, 2010

会议地点：Wuxi, Jiang Su, China

语种：英文

外文关键词：Banach spaces - Lithium

外文摘要：Let C be a closed bounded convex subset of a Banach space X with 0 being an interior point of C and pC(.) be the Minkowski functional with respect to C. A generalized mutually maximization problem maxC(F,G) is said to be well posed if it has a unique solution (x, z) and every maximizing sequence converges strongly to (x, z). Under the assumption that C is both strictly convex and Kadec,G is a nonempty closed, bounded relatively weakly compact subset of X, using the concept of the admissible family D of B(X) , we prove the generic result that the set E of all subsets F ( in D) such that the generalized mutually maximization problem maxC(F,G) is well posed is a residual subset of D. These extend and sharpen some recent results due to De Blasi, Myjak and Papini, Li, Li and Ni, Li and Xu, and Ni, etc. ? 2010 IEEE.