具有下限曲率的哈达玛德曲面上变分不等式的惯性迭代法

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

East Asian Journal on Applied Mathematics Pub Date : 2024-01-01 DOI:10.4208/eajam.2023-093.130723

Teng-Teng Yao,Xiao-Qing Jin, Zhi Zhao

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引用次数: 0

摘要

在本文中，我们关注的是哈达玛流形上的变分不等式求解，这些流形的曲率自下而上是有界的。假设底层矢量场是连续和伪单调的。通过结合超平面投影法和惯性外推法，提出了一种 Halpern 型方法。在一些温和的假设条件下，建立了所提算法的全局收敛性。数值实验报告显示了所提算法的效率。

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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Iterative Method with Inertia for Variational Inequalities on Hadamard Manifolds with Lower Bounded Curvature

In this paper, we are concerned with solving variational inequalities on Hadamard manifolds, the curvature of which is bounded from below. The underlying vector field is assumed to be continuous and pseudomonotone. By combining the hyperplane projection method and the inertial extrapolation technique, a Halpern-type method is proposed. Under some mild assumptions, global convergence of the proposed algorithm is established. Numerical experiments are reported to show the efficiency of the proposed algorithm.

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来源期刊

East Asian Journal on Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.60

自引率

8.30%

发文量

期刊介绍： The East Asian Journal on Applied Mathematics (EAJAM) aims at promoting study and research in Applied Mathematics in East Asia. It is the editorial policy of EAJAM to accept refereed papers in all active areas of Applied Mathematics and related Mathematical Sciences. Novel applications of Mathematics in real situations are especially welcome. Substantial survey papers on topics of exceptional interest will also be published occasionally.