内积空间中的h-强凸集值映射  

h-strongly Convex Set-valued Mappings in Inner Product Spaces

作　　者：马军[1] 余国林[1] 孔翔宇[1] 

机构地区：[1]北方民族大学应用数学研究所,宁夏银川750021

出　　处：《应用数学》2017年第2期386-391,共6页Mathematica Applicata

基　　金：国家自然科学基金(11361001);宁夏自然科学基金(NZ14101)

摘　　要：本文首先在赋范线性空间中引入一类广义强凸集值映射,称之为h-强凸集值映射.其次利用R?dstr?m消去律研究了h-强凸集值映射的一些基本性质.最后,给出h-强凸集值映射形式下赋范线性空间为内积空间的刻画条件.In this note, a kind of generalized strongly convex set-valued mappings, termed hstrongly convex set-valued mappings, are introduced in real normed spaces. Then, by employing R？dstr？m cancellation law, some basic properties of h-strongly convex set-valued mappings are proposed. Finally, a characterization of inner product spaces involving the h-strongly convex set-valued mapping is presented.

关 键 词：强凸集值映射 h-强凸集值映射 Radstrom消去律 内积空间 

分 类 号：O211.4[理学—概率论与数理统计]