On Second-Order Proto-Differentiability of Perturbation Maps

被引：8
|
作者：
Tung, L. T. [1 ]
机构：
[1] Cantho Univ, Dept Math, Coll Nat Sci, Can Tho, Vietnam
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2018年 / 26卷 / 03期
关键词：
Second-order proto-differentiability; Second-order semi-differentiability; Parameterized vector optimization problems; Solution maps; Frontier maps; Second-order sensitivity analysis; CONVEX VECTOR OPTIMIZATION; SET-VALUED OPTIMIZATION; SENSITIVITY-ANALYSIS; OPTIMALITY CONDITIONS; TILT STABILITY; FULL STABILITY; EPIDERIVATIVES; DERIVATIVES; MAPPINGS;
D O I：
10.1007/s11228-016-0397-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, second-order sensitivity analysis in vector optimization problems is considered. We prove that the efficient solution map and the efficient frontier map of a parameterized vector optimization problem are second-order proto-differentiable under some appropriate qualification conditions. Some sufficient conditions for inner and outer approximation of the second-order proto-derivative are also provided.
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页码：561 / 579
页数：19
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