求解变分不等式的自适应粘滞型惯性梯度算法及其应用

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2022-02-07 DOI:10.3846/mma.2022.13846

Bing Tan, X. Qin

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引用次数: 8

摘要

本文介绍了求解实数Hilbert空间中的单调和Lipschitz连续变分不等式问题的两种新的非单调步长惯性外聚算法。在不知道映射的Lipschitz常数的前提下，建立了所建议迭代格式的强收敛定理。最后，通过数值算例说明了所提算法的有效性和优越性，并与一些相关算法进行了比较。

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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Self adaptive viscosity-Type inertial extragradient Algorithms for solving variational inequalities with Applications

In this paper, we introduce two new inertial extragradient algorithms with non-monotonic stepsizes for solving monotone and Lipschitz continuous variational inequality problems in real Hilbert spaces. Strong convergence theorems of the suggested iterative schemes are established without the prior knowledge of the Lipschitz constant of the mapping. Finally, some numerical examples are provided to illustrate the efficiency and advantages of the proposed algorithms and compare them with some related ones.

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