求解分裂零点问题的基于投影的并行混合算法的一种加速变体

IF 0.7 4区数学 Q2 MATHEMATICS Topological Methods in Nonlinear Analysis Pub Date : 2022-12-10 DOI:10.12775/tmna.2022.015

Yasir Arfat, P. Kumam, M. A. A. Khan, P. S. Ngiamsunthorn

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引用次数: 0

摘要

本文考虑一种基于加速收缩投影的并行混合算法来研究Hilbert空间中与最大单调算子相关的分裂零点问题。对所提出算法的分析在适当的控制条件下提供了强大的收敛性结果，并在数值实验的帮助下提供了可行性。本文给出的结果改进了现有文献中的各种现有结果。

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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An accelerated variant of the projection based parallel hybrid algorithm for split null point problems

In this paper, we consider an accelerated shrinking projection based parallel hybrid algorithm to study the split null point problem (SNPP) associated with the maximal monotone operators in Hilbert spaces. The analysis of the proposed algorithm provides strong convergence results under suitable set of control conditions as well as viability with the help of a numerical experiment. The results presented in this paper improve various existing results in the current literature.

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来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.