求解准单调和非单调变分不等式

Pub Date : 2024-01-19 DOI:10.1007/s00186-023-00846-9

V. A. Uzor, T. O. Alakoya, O. T. Mewomo, A. Gibali

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引用次数: 0

摘要

我们提出了一种简单的迭代方法，用于求解无单调性的类下调不等式和经典变分不等式。我们给出了在温和条件下的强收敛性分析，从而推广了仅在限制性假设下提出弱收敛方法的少数现有结果。我们给出了有限维和无限维数值示例，以比较和说明所提方案的简单性和计算优势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Solving quasimonotone and non-monotone variational inequalities

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Solving quasimonotone and non-monotone variational inequalities

We present a simple iterative method for solving quasimonotone as well as classical variational inequalities without monotonicity. Strong convergence analysis is given under mild conditions and thus generalize the few existing results that only present weak convergence methods under restrictive assumptions. We give finite and infinite dimensional numerical examples to compare and illustrate the simplicity and computational advantages of the proposed scheme.

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