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

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

引用次数: 0

Abstract

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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E-univexity 条件下分数程序设计问题的最优性和对偶性结果

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 \((FP_E)\).

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

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

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