希尔伯特空间中有限 Lipschitzian Demicontractions 和变分不等式问题的次梯度外梯度法

IF 1.3 4区数学 Q1 MATHEMATICS

Journal of Mathematics Pub Date : 2024-05-08 DOI:10.1155/2024/7793048

Sarawut Suwannaut

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引用次数: 0

摘要

在这项研究中，引入了修正的子梯度外梯度法和由有限Lipschitzian demicontractions有限族生成的-映射。然后，建立了求有限 Lipschitzian 去折射映射的公共定点集和变分不等式问题公共解集的公共元素的强收敛定理。此外，还给出了支持主定理的数值示例。

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Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space

In this research, the modified subgradient extragradient method and -mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mappings and the common solution set of variational inequality problems is established. Furthermore, numerical examples are given to support the main theorem.

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来源期刊

Journal of Mathematics Mathematics-General Mathematics

CiteScore

2.50

自引率

14.30%

发文量

期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.