A self-adaptive forward-backward-forward algorithm for solving split variational inequalities

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI:10.37193/cjm.2023.02.15

Tzu-Chien Yin, N. Hussain, A. Asiri

引用次数: 0

Abstract

In this paper, we consider an iterative approximation problem of split variational inequalities in Hilbert spaces. In order to solve this split problem, we construct an iterative algorithm which combines a forward-backward-forward method and a self-adaptive rule to update the step-sizes. We prove that the constructed algorithm converges strongly to a solution of the split variational inequalities under some mild assumptions.

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解分裂变分不等式的自适应前-后-前算法

本文研究了Hilbert空间中分裂变分不等式的迭代逼近问题。为了解决这一分裂问题，我们构造了一种结合前向后向前向方法和自适应规则的迭代算法来更新步长。在一些温和的假设条件下，证明了所构造的算法强收敛于分裂变分不等式的解。

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

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.