摘要
本文在实Banach空间中研究了几种边界条件:LSB—条件、LS—条件、BP—条件、CR—条件和弱向内条件之间的关系.我们的结果改进了Williamson[1]中的结果.同时,举了一些反例说明定理中条件的必要性及条件之间的强弱关系.
This paper studies the relations among the boundary conditions——LSB-condition; LS-condition, BP-condition, CR-condition and weak inward condition in real Banach spaces. Our results improve the ones in Williamson. Meanwhile, some examples are given to explain the necessity of the conditions and the relation between strongness and weakness about the conditions.
关键词
映射
边界条件
关系
凸集
mapping
boundary condition
relation
