Weak Subdifferentials for Set-Valued Mappings

被引：0

作者：

X. J. Long

J. W. Peng

X. B. Li

机构：

[1] Chongqing Technology and Business University,College of Mathematics and Statistics

[2] Chongqing Normal University,Department of Mathematics

[3] Chongqing JiaoTong University,College of Science

来源：

Journal of Optimization Theory and Applications | 2014年 / 162卷

关键词：

Weak subgradient; Set-valued mapping; Contingent derivative; Existence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The purpose of this paper is to study the weak subdifferential for set-valued mappings, which was introduced by Chen and Jahn (Math. Methods Oper. Res., 48:187–200, 1998). Two existence theorems of weak subgradients for set-valued mappings are obtained. Moreover, some properties of the weak subdifferential for set-valued mappings are derived. Our results improve the corresponding ones in the literature. Some examples are given to illustrate our results.

引用

页码：1 / 12

页数：11

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