求解拟单调变分不等式问题的Halpern次梯度外聚算法

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2021-11-15 DOI:10.37193/cjm.2022.01.20

Pongsakorn Yotkaew, H. Rehman, B. Panyanak, N. Pakkaranang

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引用次数: 1

摘要

本文研究了无穷维Hilbert空间中含有拟单调算子的变分不等式的数值解。我们证明了由所提出的拟单调变分不等式求解算法生成的迭代序列强收敛于一个解。所提出的迭代方案的主要优点是，它使用了基于算子知识的单调和非单调步长规则，而不是其Lipschitz常数或其他一些线搜索方法。

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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Halpern subgradient extragradient algorithm for solving quasimonotone variational inequality problems

In this paper, we study the numerical solution of the variational inequalities involving quasimonotone operators in infinite-dimensional Hilbert spaces. We prove that the iterative sequence generated by the proposed algorithm for the solution of quasimonotone variational inequalities converges strongly to a solution. The main advantage of the proposed iterative schemes is that it uses a monotone and non-monotone step size rule based on operator knowledge rather than its Lipschitz constant or some other line search method.

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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.