求解单调变分不等式问题的修正惯性次梯度外梯度算法
A Modified Inertial Subgradient Extragradient Algorithm for Solving Monotone Variational Inequality Problems
摘要: 本文提出了一种修正的惯性次梯度外梯度算法,用以求解实Hilbert空间中的具有Lipschitz连续和单调的变分不等式问题。我们在惯性次梯度外梯度算法的基础上,结合粘度逼近法,构造了一种具有强收敛性的算法。
Abstract: In this paper, a modified inertial subgradient extragradient algorithm is proposed for solving the Lipschitz-continuum and monotone variational inequality problems in real Hilbert space. On the basis of the inertial subgradient extragradient algorithm and the viscosity approximation method, we construct an algorithm with strong convergence.
文章引用:邓雲方, 李锋. 求解单调变分不等式问题的修正惯性次梯度外梯度算法[J]. 运筹与模糊学, 2021, 11(3): 336-346. https://doi.org/10.12677/ORF.2021.113038

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