On nonsmooth multiobjective semi-infinite programming with switching constraints using tangential subdifferentials

Q2 Mathematics

Statistics, Optimization and Information Computing Pub Date : 2023-01-09 DOI:10.19139/soic-2310-5070-1704

Mohsine Jennane, El Mostafa Kalmoun

引用次数: 1

Abstract

We investigate optimality conditions for a nonsmooth multiobjective semi-infinite programming problem subject to switching constraints. In particular, we employ a surrogate problem and a suitable constraint qualification to state necessary M-stationary conditions in terms of tangential subdifferentials. An example is given at the end to illustrate our main result.

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基于切向次微分的带切换约束的非光滑多目标半无限规划

研究了一类具有切换约束的非光滑多目标半无限规划问题的最优性条件。特别地，我们使用了一个替代问题和一个合适的约束条件来描述切向次微分的必要的m平稳条件。最后给出了一个例子来说明我们的主要结果。

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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来源期刊

Statistics, Optimization and Information Computing Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Statistics, Optimization and Information Computing (SOIC) is an international refereed journal dedicated to the latest advancement of statistics, optimization and applications in information sciences. SOIC publishes original research/survey papers on theory, algorithms and applications which covering the range of the interface of statistics, optimization and information sciences. Topics of interest are (but not limited to): Statistical theory and applications [...] Optimization methods and applications[...] Information computing and machine intelligence[...]