Banach空间中伪单调变分不等式问题解的强收敛性

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.917391

Xin Chang, Muyuan Liu, Liang Yan

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引用次数: 0

摘要

本文基于直线搜索技术，提出了一种求解2-一致凸Banach空间中伪单调变分不等式问题的迭代方法。证明了本文提出的迭代格式强收敛于伪单调变分不等式问题的一个解。我们的结果扩展了[4]中的主要结果

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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The strong convergence for solutions of pseudomonotone variational inequality problem in Banach spaces

In this paper, based on the line-search technique, an iteration method to solve pseudomonotone variational inequality problem in 2-uniformly convex Banach spaces is introduced. The iteration scheme presented in this paper is proved to converge strongly to a solution of the pseudomonotone variational inequality problem. Our result extends the main result in [4]

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来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

期刊介绍： The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems. The principal areas of interest of this journal are the following: 1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. Special attention will be paid to the analysis of nonlinearities and stochastic aspects. Within the above limitation, scientists in all fields which employ mathematics are encouraged to submit research and review papers to the journal. Both theoretical and applied papers will be considered for publication. High quality, novelty of the content and potential for the applications to modern problems in applied sciences and technology will be the guidelines for the selection of papers to be published in the journal. This journal publishes only articles with original and innovative contents. Book reviews, announcements and tutorial articles will be featured occasionally.