拟强$ E $-先验性及其与非线性规划的关系

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-18 DOI:10.3934/naco.2023010

Akhlad Iqbal, Askar Hussain

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引用次数: 1

摘要

本文将强$E$-预凸函数和强$E$-逆函数扩展到拟强$E$-预凸函数、拟强$E$-逆函数和伪强$E$-逆函数。为了支持我们的定义，已经构造了一些重要的合适示例。讨论了这些函数的几个有趣的性质和关系。此外，为了证明我们的结果的应用，我们考虑了一个非线性规划问题，并证明了局部极小点也是一个严格的全局极小点。

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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Quasi Strongly $ E $-preinvexity and its relationships with non-linear programming

In this paper, we extend the class of strongly $E$-preinvex and strongly $E$-invex functions to quasi strongly $E$-preinvex, quasi strongly $E$-invex and pseudo strongly $E$-invex functions. Some nontrivial suitable examples have been constructed in support of our definitions. Several interesting properties and relationships of these functions are discussed. Furthermore, to show the application of our results, we consider a nonlinear programming problem and show that the local minimum point is also a strictly global minimum.

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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.