Exact Penalization and Optimality Conditions for Approximate Directional Minima

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2022-01-20 DOI:10.11650/TJM/211004

Teodor Chelmuş

引用次数: 0

Abstract

In this paper, we study the concept of approximate directional efficiency for set-valued constrained and unconstrained optimization problems. In our work, we concerned with finding conditions under which the Clarke penalization technique can be applied, and we derive some optimality conditions via variational analysis tools such as limiting normal cones and its corresponding normal coderivative.

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近似方向极小的精确惩罚和最优性条件

本文研究了集值约束和无约束优化问题的近似方向效率的概念。在我们的工作中，我们关注于寻找克拉克惩罚技术可以应用的条件，并通过变分分析工具，如极限正锥及其相应的正共导数，导出了一些最优性条件。

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

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.