集值映射的最小选择与应用

摘要

In this paper, the continuation properties of the minimum selections of set-valued mappings are studied by utilizing the theory of geometry in Banach space, and some continuity theorems depended on geometric properties of spaces are given. On the basis of these, the problem concerning the continuation properties of minimum right inverses for surjective linear operators is discussed.%该文利用Banach空间几何理论研究了集值映射最小选择的连续性,给出了若干与空间几何性质相关的连续性定理,并利用所得结果讨论了满线性算子最小右逆的连续性问题.