一类混合变分不等式解集的性质

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2022-10-21 DOI:10.1080/01630563.2022.2135102

Yang Xu, Zhenghai Huang

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引用次数: 0

摘要

摘要本文研究实欧氏空间的非空闭凸子集上的一类混合变分不等式。其中一个映射是下半连续映射，另一个是弱齐次映射。在讨论了问题的解集（如果它是非空的）的有界性之后，我们重点讨论了解集的非空性和紧性。建立了关于该问题解集的非空性和紧致性的两个新结果，并用实例将其与文献中的结果进行了比较。可以看出，新的结果改进了一些已知的相关结果。

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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Properties of the Solution Set of a Class of Mixed Variational Inqualities

Abstract In this paper, we investigate a class of mixed variational inequalities on nonempty closed convex subsets of real Euclidean spaces. One of the mappings involved is lower semicontinuous and the other is weakly homogeneous. After discussing the boundedness for the solution set (if it is nonempty) of the problem, we focus on the nonemptiness and compactness of the solution set. Two new results on the nonemptiness and compactness of the solution set of the problem are established, and some examples are used to compare the results with those in the literature. It can be seen that new results improve some known related results.

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.