求解一类变分不等式的新并行算法

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-06-19 DOI:10.1007/s10440-024-00665-y

Nguyen Song Ha, Truong Minh Tuyen, Phan Thi Van Huyen

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引用次数: 0

摘要

本文研究了实希尔伯特空间中单调算子方程的多输出集分裂共解问题解集上的变分不等式。我们提出了一种解决该问题的新方法，无需依赖转移映射的规范。我们还提到了它在求解具有多个输出集的分裂公共定点问题解集的变分不等式以及相关问题中的一些应用。最后，我们给出了数值示例来说明所提算法的性能，并将其与之前的几种现有算法进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A New Parallel Algorithm for Solving a Class of Variational Inequalities

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A New Parallel Algorithm for Solving a Class of Variational Inequalities

In this paper, we study the variational inequality over the solution set of the split common solution problem with multiple output sets for monotone operator equations in real Hilbert spaces. We propose a new approach for solving this problem without depending on the norm of the transfer mappings. Some of its applications for solving the variational inequality over the solution set of the split common fixed point problem with multiple output sets and related problems are also mentioned. Finally, we give numerical examples to illustrate the performance of the proposed algorithm and compare it with several existing previous algorithms.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.