Well Posedness of Generalized Mutually Maximization Problem

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 bas 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 O 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.

关键词： well posed strictly convex and Kadec space maximization sequence residual subset generalized mutually maximization problem

作者: NI Ren-Xing

作者单位: Department of Mathematics Shaoxing University Shaoxing Zhejiang, 312000, P. R. China

会议类型: 国际会议

会议名称: Third International Conference on Information and Computing(第三届信息与计算科学国际会议 ICIC 2010)

会议地点: 无锡

会议语种:英文

页码: 203-206

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）