求解伪单调变分不等式的一种新的加速梯度外算法

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2022-10-08 DOI:10.1007/s40065-022-00400-1

Supansa Noinakorn, Nopparat Wairojjana, Nuttapol Pakkaranang, Natttawut Pholasa

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引用次数: 0

摘要

本文提出了一种新的惯性迭代方法来求解实Hilbert空间中具有伪单调和Lipschitz连续算子的经典变分不等式。所提出的迭代方案基本上类似于用于解决实希尔伯特空间中变分不等式问题的梯度外方法。利用算子的Lipschitz常数的先验知识，建立了该算法的强收敛性。最后，通过计算实验验证了该算法的适用性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities

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A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities

In this paper, we propose a new inertial iterative method to solve classical variational inequalities with pseudomonotone and Lipschitz continuous operators in the setting of a real Hilbert space. The proposed iterative scheme is basically analogous to the extragradient method used to solve the problems of variational inequalities in real Hilbert spaces. The strong convergence of the proposed algorithm is set up with the prior knowledge of Lipschitz’s constant of an operator. Finally, several computational experiments are listed to show the applicability and efficiency of the proposed algorithm.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.