A self adaptive inertial algorithm for solving variational inequalities over the solution set of the split variational inequality problem

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Optimization Letters Pub Date : 2023-12-07 DOI:10.1007/s11590-023-02080-y

Nguyen Thi Thu Thuy, Tran Thanh Tung

引用次数: 0

Abstract

The purpose of this paper is to investigate a new inertial self-adaptive iterative algorithm for solving variational inequalities over the solution set of the split variational inequality problem with multiple output sets in real Hilbert spaces. The strong convergence result is given under some mild conditions widely used in the convergence analysis. Our algorithm is accelerated by the inertial technique and eliminates the dependence on the norm of the transformation operators and the strongly monotone and Lipschitz continuous constants of the involved operator. Two applications in the network bandwidth allocation problem and the image classification problem are shown, and some numerical experiments are presented to show the advantages of the proposed algorithm.

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在分裂变分不等式问题解集上求解变分不等式的自适应惯性算法

本文旨在研究一种新的惯性自适应迭代算法，用于求解实希尔伯特空间中具有多个输出集的分裂变分不等式问题解集上的变分不等式。在收敛分析中广泛使用的一些温和条件下，给出了强收敛结果。我们的算法通过惯性技术加速，消除了对变换算子的规范以及相关算子的强单调和利普希兹连续常数的依赖。我们还展示了网络带宽分配问题和图像分类问题中的两个应用，并通过一些数值实验说明了所提算法的优势。

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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来源期刊

Optimization Letters 管理科学-应用数学

CiteScore

3.40

自引率

6.20%

发文量

116

审稿时长

9 months

期刊介绍： Optimization Letters is an international journal covering all aspects of optimization, including theory, algorithms, computational studies, and applications, and providing an outlet for rapid publication of short communications in the field. Originality, significance, quality and clarity are the essential criteria for choosing the material to be published. Optimization Letters has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time one of the most striking trends in optimization is the constantly increasing interdisciplinary nature of the field. Optimization Letters aims to communicate in a timely fashion all recent developments in optimization with concise short articles (limited to a total of ten journal pages). Such concise articles will be easily accessible by readers working in any aspects of optimization and wish to be informed of recent developments.