CONCEPTS OF LOWER SEMICONTINUITY AND CONTINUOUS-SELECTIONS FOR CONVEX VALUED MULTIFUNCTIONS

被引：14
|
作者：
PRZESLAWSKI, K
RYBINSKI, LE
机构：
[1] Department of Mathematics, Higher College of Engineering, 65-246 Zielona Góra
来源：
JOURNAL OF APPROXIMATION THEORY | 1992年 / 68卷 / 03期
关键词：
D O I：
10.1016/0021-9045(92)90105-W
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss several concepts of continuity, weaker than lower semicontinuity, but still implying the existence of a continuous selection for a closed convex valued multifunction from a paracompact Hausdorff topological space into a Banach space. In this way, an extension of Michael's celebrated selection theorem is given. The behavior of ε-envelop approximations, as well as the localization of continuous selections, is also discussed. © 1992.
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页码：262 / 282
页数：21
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