关于具有局部 Lipschitz 数据的分数无限多目标优化问题的 $$varepsilon $$ 准高效解决方案

IF 0.8 3区 数学 Q2 MATHEMATICS Positivity Pub Date : 2024-04-01 DOI:10.1007/s11117-024-01046-3
Thanh-Hung Pham
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引用次数: 0

摘要

在本文中,我们研究了具有局部 Lipschitz 数据的分数无限多目标优化问题的 \(\varepsilon \)-准高效解的最优性条件和对偶性。所获得的结果改进或包含了一些最新的已知结果。此外,还提供了几个示例。
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On $$\varepsilon $$ -quasi efficient solutions for fractional infinite multiobjective optimization problems with locally Lipschitz data

In this paper, we investigate optimality conditions and duality for \(\varepsilon \)-quasi efficient solutions of the fractional infinite multiobjective optimization problems with locally Lipschitz data. The obtained results improve or include some recent known ones. Several illustrative examples are also provided.

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来源期刊
Positivity
Positivity 数学-数学
CiteScore
1.80
自引率
10.00%
发文量
88
审稿时长
>12 weeks
期刊介绍: The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.
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