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运筹学学报 >

2020 , Vol. 24 >Issue 4: 83 - 92

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2020.04.007

集值优化中扰动映射的二阶S导数的灵敏度分析

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  • 1. 贵州广播电视大学, 贵阳 556000;
    2. 贵州大学数学与统计学院, 贵阳 550025;
    3. 贵州电子商务职业技术学院, 贵阳 550000

收稿日期: 2019-04-01

  网络出版日期: 2020-11-18

基金资助

国家自然科学基金（No.61962009），贵州省科技重大专项计划（No.20183001）

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Sensitivity for the second-order S-derivative of the perturbation map in set-valued optimization

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  • 1. Guizhou Radio and TV University, Guiyang 556000, China;
    2. College of Mathematics and Statistics, Guizhou University, Guiyang 550025, China;
    3. Guizhou Vocational and Technical College of ECommerce, Guiyang 550000, China

Received date: 2019-04-01

  Online published: 2020-11-18

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摘要

引进一种新的二阶切导数，称为二阶S导数，并讨论它的性质以及它与二阶切导数的关系。借助二阶S导数，建立集值映射切导数的极小值与扰动映射切导数之间的关系。

关键词： 二阶S导数; 集值映射; 扰动映射

本文引用格式

汤卫, 杨赟 . 集值优化中扰动映射的二阶S导数的灵敏度分析[J]. 运筹学学报, 2020 , 24(4) : 83 -92 . DOI: 10.15960/j.cnki.issn.1007-6093.2020.04.007

Abstract

In this paper, a new kind of second-order contingent derivative is introduced, termed second-order S-derivative. Some properties of second-order S-derivative and the relationship to second-order contingent derivative are discussed. Then, with the help of second-order S-derivative, relationships are established between the minimum of contingent derivative of set-valued maps and contingent derivative of perturbation maps.

Key words： second-order S-derivative; set-valued map; perturbation map

参考文献

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