一种用于变分不等式的惯性平行CQ次梯度法在信号图像恢复中的应用

Q1 Mathematics

Results in Nonlinear Analysis Pub Date : 2021-08-31 DOI:10.53006/rna.960559

Ponkamon Kitisak, W. Cholamjiak, D. Yambangwai

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引用次数: 1

摘要

本文介绍了一种求解变分不等式问题（cid:28）的惯性并行CQ次梯度超梯度方法。本文的新颖之处在于利用线性搜索方法对L-Lipschitz连续映射的未知L常数（cid:28）进行了求解。在Hilbert空间中的一些适当条件下证明了强收敛定理。最后，我们展示了在信号和图像恢复中的应用，并展示了当子问题数量增加时，我们提出的算法的良好效率

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An inertial parallel CQ subgradient extragradient method for variational inequalities application to signal-image recovery

In this paper, we introduce an inertial parallel CQ subgradient extragradient method for (cid:28)nding a common solutions of variational inequality problems. The novelty of this paper is using linesearch methods to (cid:28)nd unknown L constant of L -Lipschitz continuous mappings. Strong convergence theorem has been proved under some suitable conditions in Hilbert spaces. Finally, we show applications to signal and image recovery, and show the good e(cid:30)ciency of our proposed algorithm when the number of subproblems is increasing

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来源期刊

Results in Nonlinear Analysis Mathematics-Mathematics (miscellaneous)

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks