E-univexity 条件下分数程序设计问题的最优性和对偶性结果

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Numerical Algorithms Pub Date : 2024-05-04 DOI:10.1007/s11075-024-01840-w

S. K. Mishra, D. Singh, Pankaj

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 \((FP_E)\).

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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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

Numerical Algorithms 数学-应用数学

CiteScore

4.00

自引率

9.50%

发文量

201

审稿时长

9 months

期刊介绍： The journal Numerical Algorithms is devoted to numerical algorithms. It publishes original and review papers on all the aspects of numerical algorithms: new algorithms, theoretical results, implementation, numerical stability, complexity, parallel computing, subroutines, and applications. Papers on computer algebra related to obtaining numerical results will also be considered. It is intended to publish only high quality papers containing material not published elsewhere.