On generalized ε-subdifferential and radial epiderivative of set-valued mappings

被引：0
|
作者：
Guo, X. L. [1 ]
Zhao, C. J. [2 ]
Li, Z. W. [1 ]
机构：
[1] Henan Inst Engn, Dept Sci, Zhengzhou 451191, Peoples R China
[2] Henan Inst Engn, Zhengzhou 451191, Peoples R China
来源：
OPTIMIZATION LETTERS | 2014年 / 8卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Set-valued mapping; Generalized epsilon-subdifferential; Radial epiderivatives; OPTIMALITY CONDITIONS; OPTIMIZATION;
D O I：
10.1007/s11590-013-0691-9
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, a generalized epsilon-subdifferential, which was defined by the radial epiderivative and a norm, is first introduced for a set-valued mapping. Some existence theorems of the generalized epsilon-subdifferential and the radial epiderivative are discussed. A relationship between the existence of the radial epiderivative and the existence of the generalized epsilon-subdifferential is investigated for a set-valued mapping.
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页码：1707 / 1720
页数：14
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