The existence of contingent epiderivatives for set-valued maps

被引：26
|
作者：
Jahn, J
Khan, AA
机构：
[1] Univ Erlangen Nurnberg, Inst Appl Math, D-91058 Erlangen, Germany
[2] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA
来源：
APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 08期
关键词：
set-valued maps; contingent epiderivative; contingent cone;
D O I：
10.1016/S0893-9659(03)90114-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This short note deals with the issue of existence of contingent epiderivatives for set-valued maps defined from a real normed space to the real line. A theorem of Jahn-Rauh [1], given for the existence of contingent epiderivatives, is used to obtain more general existence results. The strength and the limitations of the main result are discussed by means of some examples. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：1179 / 1185
页数：7
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