Second-order differentiability of generalized perturbation maps

被引：15

作者：

Li, S. J. ^{[1
]}

Liao, C. M. ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2012年 / 52卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Generalized equation; Generalized perturbation map; Second-order proto-differentiability; Second-order semidifferentiability; Second-order lower semidifferentiability; SENSITIVITY-ANALYSIS; OPTIMALITY CONDITIONS; DERIVATIVES;

D O I：

10.1007/s10898-011-9661-x

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, by using the second-order proto-differentiability and second-order lower semidifferentiability, second-order differential properties of a class of set-valued maps are investigated and an explicit expression of the second-order derivatives is obtained. Then, second-order sensitivity properties are discussed for generalized perturbation maps.

引用

页码：243 / 252

页数：10

共 23 条

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