Weak Subdifferentials for Set-Valued Mappings

被引：4

作者：

Long, X. J. ^{[1
]}

Peng, J. W. ^{[2
]}

Li, X. B. ^{[3
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

[2] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China

[3] Chongqing JiaoTong Univ, Coll Sci, Chongqing 400074, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 162卷 / 01期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1007/s10957-013-0469-3

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：

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：12

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