强拟凸伪单调平衡问题的c - fista型近点算法

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2026-10-01 Epub Date: 2026-02-24 DOI:10.1016/j.cam.2026.117504

Grace Nnennaya Ogwo , Chinedu Izuchukwu , Yekini Shehu

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引用次数: 0

摘要

提出一种求解强拟凸伪单调平衡问题的c - fista型近点算法。该方法由两个动量项、一个修正项和近点算法组成。在标准假设条件下，证明了所提方法的收敛性。进一步，我们得到了该方法的次线性收敛速率和线性收敛速率。最后，我们给出了一个求解平衡问题的数值测试，以说明我们提出的方法的有效性和通用性。

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A C-FISTA-type proximal point algorithm for strongly quasiconvex pseudomonotone equilibrium problems

This paper presents a C-FISTA-type proximal point algorithm for solving strongly quasiconvex pseudomonotone equilibrium problems. Our proposed method consists of two momentum terms, a correction term, and the proximal point algorithm. We establish the convergence of our proposed method under standard assumptions. Furthermore, we obtain the sublinear and linear convergence rates of our proposed method. Finally, we present a numerical test for solving equilibrium problems to illustrate the effectiveness and versatility of our proposed method.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.