次梯度方法
变分不等式
单调函数
希尔伯特空间
李普希茨连续性
惯性参考系
数学
趋同(经济学)
应用数学
规范(哲学)
操作员(生物学)
迭代法
数学优化
计算机科学
数学分析
化学
法学
经济
物理
抑制因子
基因
转录因子
量子力学
生物化学
经济增长
政治学
出处
期刊:Journal of Industrial and Management Optimization
[American Institute of Mathematical Sciences]
日期:2023-01-01
卷期号:19 (10): 7640-7659
被引量:2
摘要
In this paper, four modified inertial subgradient extragradient methods with a new non-monotonic step size criterion are investigated for pseudomonotone variational inequality problems in real Hilbert spaces.Our algorithms employ two different step sizes in each iteration to update the values of iterative sequences, and they work well without the prior information about the Lipschitz constant of the operator.Strong convergence theorems of the proposed iterative schemes are established under some suitable and mild conditions.Some numerical examples are provided to demonstrate the computational efficiency and advantages of the proposed methods over other known ones.
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