Note on an inertial projection-based approach for solving extended general quasi-variational inequalities and its convergence analysis

IF 2.4 2区数学 Q1 MATHEMATICS, APPLIED

Applied Numerical Mathematics Pub Date : 2025-06-20 DOI:10.1016/j.apnum.2025.06.012

Saudia Jabeen , Siegfried Macías , Saleem Ullah , Muhammad Aslam Noor , Jorge E. Macías-Díaz

引用次数: 0

Abstract

In this work, an inertial projection-based method is proposed to find approximate solutions to a new class of quasi-variational inequalities. The approach utilizes projection techniques to develop an iterative scheme, and its convergence properties are rigorously examined under appropriate conditions. Various specific cases are derived from the general framework, highlighting the adaptability of the proposed method. The comparative performance of this approach with existing techniques remains an open area for exploration. It is expected that the theoretical framework and techniques proposed in this study will stimulate further research in this domain.

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基于惯性投影的广义拟变分不等式求解方法及其收敛性分析

在这项工作中，提出了一种基于惯性投影的方法来求一类新的拟变分不等式的近似解。该方法利用投影技术开发迭代格式，并在适当的条件下严格检验了其收敛性。从总体框架中衍生出各种具体案例，突出了所提方法的适应性。这种方法与现有技术的性能比较仍然是一个有待探索的开放领域。期望本研究提出的理论框架和技术将促进该领域的进一步研究。

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

Applied Numerical Mathematics 数学-应用数学

CiteScore

5.60

自引率

7.10%

发文量

225

审稿时长

7.2 months

期刊介绍： The purpose of the journal is to provide a forum for the publication of high quality research and tutorial papers in computational mathematics. In addition to the traditional issues and problems in numerical analysis, the journal also publishes papers describing relevant applications in such fields as physics, fluid dynamics, engineering and other branches of applied science with a computational mathematics component. The journal strives to be flexible in the type of papers it publishes and their format. Equally desirable are: (i) Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational mathematics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research, in which other than strictly mathematical arguments may be important in establishing a basis for further developments. (ii) Tutorial review papers, covering some of the important issues in Numerical Mathematics, Scientific Computing and their Applications. The journal will occasionally publish contributions which are larger than the usual format for regular papers. (iii) Short notes, which present specific new results and techniques in a brief communication.