A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces. (21st June 2021)

• Record Type: Journal Article
• Authors: Ghadampour, Mostafa; O'Regan, Donal; Soori, Ebrahim; Agarwal, Ravi P.
• Other Names: Beg Ismat Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-06-21
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/9911241
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.