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.
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页码：243 / 252
页数：10
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