Tseng’s extragradient method with double projection for solving pseudomonotone variational inequality problems in Hilbert spaces

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-04-10 DOI:10.1007/s40314-024-02698-3

Zhongbing Xie, Gang Cai, Xiaoxiao Li, Qiao-Li Dong

引用次数: 0

Abstract

The aim of this paper is to investigate an accelerated Tseng’s extragradient method with double projection for solving Lipschitzian and pseudomonotone variational inequalities in real Hilbert spaces. A strong convergence theorem of the proposed algorithm is obtained under some appropriate assumptions imposed on the parameters. Finally, we give some numerical examples to demonstrate the performance of our algorithm.

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解决希尔伯特空间伪单调变分不等式问题的双投影曾外梯度法

本文旨在研究一种带有双投影的曾外梯度加速法，用于求解实希尔伯特空间中的 Lipschitzian 和伪单调变分不等式。在对参数做了一些适当假设的情况下，得到了所提算法的强收敛定理。最后，我们给出了一些数值示例来证明我们算法的性能。

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

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.