参数向量优化问题中摄动映射指标γ的二阶半可微性

IF 1.1 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Asia-Pacific Journal of Operational Research Pub Date : 2023-01-25 DOI:10.1142/s0217595922500415

T. Pham

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引用次数: 0

摘要

在本文中，我们证明了参数向量优化问题的Henig全局真有效解映射和Henig全局本有效扰动映射在一些适当的限定条件下是具有指数[公式：见正文]的二阶半可微的。给出了几个例子来说明所获得的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Second-Order Semi-Differentiability of Index γ of Perturbation Maps in Parametric Vector Optimization Problems

In this paper, we prove that the Henig global proper efficient solution map and the Henig global proper efficient perturbation map of a parametric vector optimization problem are second-order semi-differentiable with index [Formula: see text] under some suitable qualification conditions. Several examples are given to illustrate the obtained results.

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来源期刊

Asia-Pacific Journal of Operational Research 管理科学-运筹学与管理科学

CiteScore

2.00

自引率

14.30%

发文量

审稿时长

14.2 months

期刊介绍： The Asia-Pacific Journal of Operational Research (APJOR) provides a forum for practitioners, academics and researchers in Operational Research and related fields, within and beyond the Asia-Pacific region. APJOR will place submissions in one of the following categories: General, Theoretical, OR Practice, Reviewer Survey, OR Education, and Communications (including short articles and letters). Theoretical papers should carry significant methodological developments. Emphasis is on originality, quality and importance, with particular emphasis given to the practical significance of the results. Practical papers, illustrating the application of Operation Research, are of special interest.