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A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces
Journal of Function Spaces ( IF 1.9 ) Pub Date : 2021-06-21 , DOI: 10.1155/2021/9911241
Mostafa Ghadampour 1 , Donal O’Regan 2 , Ebrahim Soori 1 , Ravi P. Agarwal 3
Affiliation  

In this paper, we study the strong convergence of an algorithm to solve the variational inequality problem which extends a recent paper (Thong et al., Numerical Algorithms. 78, 1045-1060 (2018)). We reduce and refine some of their algorithm conditions and we prove the convergence of the algorithm in the presence of some computational errors. Then, using the MATLAB software, the result will be illustrated with some numerical examples. Also, we compare our algorithm with some other well-known algorithms.

中文翻译:

希尔伯特空间变分不等式问题存在误差的广义强收敛算法

在本文中,我们研究了一种算法的强收敛性以解决变分不等式问题,该问题扩展了最近的一篇论文(Thong 等人,Numerical Algorithms. 78, 1045-1060 (2018))。我们减少和改进了他们的一些算法条件,并证明了算法在存在一些计算错误的情况下的收敛性。然后,使用MATLAB软件,通过一些数值例子来说明结果。此外,我们将我们的算法与其他一些知名算法进行了比较。
更新日期:2021-06-21
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