具有三重函数的平衡问题及其在半变不等式中的应用

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-09-03 DOI:10.1007/s13324-025-01123-0

Sultana Ben Aadi, Khalid Akhlil, Daniela Inoan

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引用次数: 0

摘要

本文定义了与三重函数生成的平衡问题有关的广义单调性概念。在此基础上，研究了一类brsamzis意义上的极大单调三函数和伪单调三函数的混合平衡问题解的存在性。本研究的主要工具是关于广义对偶映射的Thikonov正则化过程和适用于三重函数的衰退分析。一个应用包含在一个非强制半变不等式的存在性结果中。

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Equilibrium problems with trifunctions and applications to hemivariational inequalities

In this paper, we define generalized monotonicity concepts related to equilibrium problems generated by trifunctions. We then study the existence of solutions to mixed equilibrium problems described as the sum of a maximal monotone trifunction and a pseudomonotone trifunction in Brézis sense. The main tools for this study are a Thikonov regularization procedure with respect to the generalized duality mapping and recession analysis adapted to trifunctions. An application consists in an existence result for a noncoercive hemivariational inequality.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.