A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces | Zendy

Mostafa Ghadampour | Zendy; Donal O’Regan | Zendy; Ebrahim Soori | Zendy; Ravi P. Agarwal | Zendy

Open Access

A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces

Author(s) -

Mostafa Ghadampour,

Donal O’Regan,

Ebrahim Soori,

Ravi P. Agarwal

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/9911241

Subject(s) - variational inequality , convergence (economics) , algorithm , matlab , hilbert space , mathematics , software , computer science , mathematical analysis , economics , programming language , economic growth , operating system

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.

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