利用凸化算子求解非光滑多目标分式问题的最优性和对偶性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.1

D. Luu, P. T. Linh

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引用次数: 3

摘要

．本文给出了包含等式、不等式和集合约束的多目标分数优化问题弱效率的Fritz John必要条件。利用Mangasarian-Fromovitz型约束条件，建立了Kuhn-Tucker必要效率条件。在广义凸性的假设下，给出了弱效率的充分条件，并给出了Wolfe型和Mond-Weir型的弱对偶、强对偶和逆对偶定理。

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Optimality and duality for nonsmooth multiobjective fractional problems using convexificators

. This paper presents Fritz John necessary conditions for the weak efﬁciency of multiobjective fractional optimization problems involving equality, inequality and set constraints. With a constraint qualiﬁcation of Mangasarian–Fromovitz type, Kuhn–Tucker necessary efﬁciency conditions are established. Under assumptions on generalized convexity, sufﬁcient conditions for weak efﬁciency are also given together with the theorems of the weak duality, the strong duality, and the inverse duality of Wolfe and Mond–Weir types.

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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.