A MODIFIED PARALLEL HYBRID SUBGRADIENT EXTRAGRADIENT METHOD OF VARIATIONAL INEQUALITY PROBLEMS

A MODIFIED PARALLEL HYBRID SUBGRADIENT EXTRAGRADIENT METHOD OF VARIATIONAL INEQUALITY PROBLEMS
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变分不等式问题的改进并行混合次梯度外梯度法

DOI：
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发表时间：
2020
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通讯作者：
Ritthicha Jaidee
Ritthicha Jaidee
中科院分区：
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作者：
Ponkamon Kitisak;W. Cholamjiak;D. Yambangwai;Ritthicha Jaidee

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本文对Hilbert空间中一类Lipschitz连续且Lipschitz常数未知的变分不等式问题的公共解的并行杂交次梯度外梯度方法进行了改进.然后在适当的条件下证明了强收敛定理。最后，我们给出了欧几里得空间中应用我们的主要定理解决信号恢复的例子。MSC：65Y05; 65K15; 68W10; 47H05; 47H10
In this paper, we modify the parallel hybrid subgradient extragradient methods for finding common solutions of variational inequality problems in Hilbert spaces for a class of Lipzchitz continuous that the Lipschitz constant is unknown. We then prove the strong convergence theorems under some suitable conditions. Finally, we give an example in Euclidean spaces by applying our main theorem to solve signal recovery. MSC: 65Y05; 65K15; 68W10; 47H05; 47H10