Second-order differentiability of generalized perturbation maps

被引:0
|
作者
S. J. Li
C. M. Liao
机构
[1] Chongqing University,College of Mathematics and Statistics
来源
Journal of Global Optimization | 2012年 / 52卷
关键词
Generalized equation; Generalized perturbation map; Second-order proto-differentiability; Second-order semidifferentiability; Second-order lower semidifferentiability;
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中图分类号
学科分类号
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:9
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