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Tseng's methods for inclusion problems on Hadamard manifolds
Optimization ( IF 2.2 ) Pub Date : 2021-06-19 , DOI: 10.1080/02331934.2021.1940179
Konrawut Khammahawong, Poom Kumam, Parin Chaipunya, Juan Martínez-Moreno

In this article, we present two Tseng's methods for finding a singularity point of an inclusion problem which is defined by means of a sum of a single-valued vector field and a multivalued vector field on a Hadamard manifold. Under standard assumptions, we prove any sequence generated by the proposed methods converges to a singularity point, whenever it exists. Moreover, applications to convex minimization problems and variational inequality problems are provided.



中文翻译:

Tseng 的 Hadamard 流形包含问题的方法

在这篇文章中,我们提出了两种 Tseng 的方法来寻找包含问题的奇异点,该包含问题是通过阿达玛流形上的单值向量场和多值向量场的和来定义的。在标准假设下,我们证明所提出的方法生成的任何序列都会收敛到一个奇异点,只要它存在。此外,还提供了凸最小化问题和变分不等式问题的应用。

更新日期:2021-06-19
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