求最大单调算子有限族公共零的近点算法

Q4 Mathematics Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI:10.22130/SCMA.2019.100821.542

Mohsen Tahernia, S. Moradi, S. Jafari

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摘要

在本文中，我们考虑了在实Hilbert空间中寻找有限族极大单调算子的公共零点的一个近点算法。此外，我们给出了有限算子的公共零点集为非空的一个充要条件，并通过证明在这种情况下，该迭代序列强收敛于某个点在算子公共零点集上的度量投影。

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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A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators

In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of common zeros of operators.

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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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