文献类型：会议论文

英文题名：Porosity of generalized mutually maximization problem

作者：Ni, Ren-Xing[1]

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

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 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 the modulus of convexity with respect to pC(.) is strictly positive, we show that the collection of all subsets in the admissible family such that the generalized mutually maximization problem fail to be well-posed is σ - porous in the admissible family. These extend and sharpen some recent results due to De Blasi, Myjak and Papini, Li , Li and Xu , and Ni , etc. ? 2010 IEEE.