集值均衡问题的近似本森适当高效解法

IF 0.8 3区数学 Q2 MATHEMATICS

Positivity Pub Date : 2024-05-13 DOI:10.1007/s11117-024-01054-3

Zhiang Zhou, Fei Huang, Qamrul Hasan Ansari

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引用次数: 0

摘要

本文介绍了集值均衡问题（简称 SVEP）的近似本森适当有效解的概念，并研究了其性质。在一些合适的假设条件下，我们得到了 SVEP 的线性标量化定理。还提出了 SVEP 的两个非线性标量化定理。在线性标量化结果的基础上，在实局部凸空间的一些合适条件下，建立了近似本森适当有效解集的非空性和连通性。本文还给出了一些例子来说明我们的结果。本文的主要结果改进并概括了文献中的一些已知结果。

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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Approximate Benson properly efficient solutions for set-valued equilibrium problems

In this paper, we introduce the concept of approximate Benson properly efficient solutions for the set-valued equilibrium problems (in short, SVEP) and investigate its properties. Under some suitable assumptions, the linear scalarization theorems for SVEP are obtained. Two nonlinear scalarization theorems for SVEP are presented. Based on the linear scalarization results, the nonemptiness and connectedness of the approximate Benson properly efficient solution set are established under some suitable conditions in real locally convex spaces. Some examples are also given to illustrate our results. The main results of this paper improve and generalize some known results in the literature.

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来源期刊

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

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.