On Second-Order Proto-Differentiability of Perturbation Maps

被引：9

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.

引用

页码：561 / 579

页数：19

共 38 条

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