E-univexity 条件下分数程序设计问题的最优性和对偶性结果

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-04 DOI:10.1007/s11075-024-01840-w

S. K. Mishra, D. Singh, Pankaj

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引用次数: 0

摘要

在本文中，我们讨论了涉及 E 可变函数 \((FP_E)\) 的非凸分式编程问题。针对 E-univexity 假设下的非光滑优化问题，我们建立了所谓的 E-Karush-Kuhn-Tucker 充分 E-optimality 条件。通过一个数值实例解释了所建立的最优性条件。在 E-univexity 假设下，定义了 Schaible 意义上的所谓矢量对偶问题（(SD_E)\），该问题涉及 E-ifferentiable functions for \((FP_E)\).

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Optimality and duality results for fractional programming problems under E-univexity

In this article, we deal with nonconvex fractional programming problems involving E-differentiable functions \((FP_E)\). The so-called E-Karush-Kuhn-Tucker sufficient E-optimality conditions are established for nonsmooth optimization problems under E-univexity hypothesis. The established optimality conditions are explained with a numerical example. The so-called vector dual problem in the sense of Schaible \((SD_E)\) involves E-differentiable functions for \((FP_E)\) is defined under E-univexity hypothesis.

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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.