光滑流形上半无限规划的同胚最优性条件和对偶性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.18

Dang Hoang Tam

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引用次数: 2

摘要

．本文研究光滑流形上的半无限规划问题。首先利用相关问题的同胚最优性条件，讨论了光滑流形上半无限规划的最优性条件。进一步，我们给出了流形上半无限规划的Lagrange, Mond-Weir和Wolfe型对偶性，并在φ - 1 -凸性假设下检验了弱对偶关系和强对偶关系。

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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Homeomorphic optimality conditions and duality for semi-infinite programming on smooth manifolds

. In this paper, we explore the semi-inﬁnite programming on smooth manifolds. We ﬁrst discuss the optimality conditions for semi-inﬁnite programming on smooth manifolds via homeomorphic optimality conditions for the associated problems. Further, we present Lagrange, Mond-Weir, and Wolfe type duality for the semi-inﬁnite programming on manifolds, and examine weak and strong duality relations under the ϕ − 1 -convexity assumption.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.