English

A generalized strong convergence algorithm in the presence of the errors for the variational inequality problems in Hilbert spaces

Numerical Analysis 2021-05-11 v3 Numerical Analysis Functional Analysis

Abstract

In this paper, we study the strong convergence of an algorithm to solve the variational inequality problem which extends(Thong et al, Numerical Algorithms. 78, 1045-1060 (2018)). We have reduced and refined some of their algorithm's conditions and we have proved the convergence of the algorithm in the presence of some computational errors. Then using MATLAB software, the result will by illustrated in some numerical examples. Finally, we compare our algorithm with some other well known algorithms.

Keywords

Cite

@article{arxiv.2103.08693,
  title  = {A generalized strong convergence algorithm in the presence of the errors for the variational inequality problems in Hilbert spaces},
  author = {Mostafa Ghadampour and Donal O'Regan and Ebrahim Soori and Ravi. p. Agarwal},
  journal= {arXiv preprint arXiv:2103.08693},
  year   = {2021}
}

Comments

13 pages

R2 v1 2026-06-24T00:12:15.949Z