A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces
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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9911241 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546070658285568 |
|---|---|
| author | Mostafa Ghadampour Donal O’Regan Ebrahim Soori Ravi P. Agarwal |
| author_facet | Mostafa Ghadampour Donal O’Regan Ebrahim Soori Ravi P. Agarwal |
| author_sort | Mostafa Ghadampour |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8dc01f91ee7640069fc3799338dfc8ce |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8dc01f91ee7640069fc3799338dfc8ce2025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99112419911241A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert SpacesMostafa Ghadampour0Donal O’Regan1Ebrahim Soori2Ravi P. Agarwal3Department of Mathematics, Lorestan University, Lorestan, Khoramabad, IranSchool of Mathematics, Statistics, National University of Ireland, Galway, IrelandDepartment of Mathematics, Lorestan University, Lorestan, Khoramabad, IranDepartment of Mathematics Texas A&M University-Kingsville, 700 University Blvd., MSC 172 Kingsville, Texas, USAIn 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.http://dx.doi.org/10.1155/2021/9911241 |
| spellingShingle | Mostafa Ghadampour Donal O’Regan Ebrahim Soori Ravi P. Agarwal A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces Journal of Function Spaces |
| title | A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces |
| title_full | A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces |
| title_fullStr | A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces |
| title_full_unstemmed | A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces |
| title_short | A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces |
| title_sort | generalized strong convergence algorithm in the presence of errors for variational inequality problems in hilbert spaces |
| url | http://dx.doi.org/10.1155/2021/9911241 |
| work_keys_str_mv | AT mostafaghadampour ageneralizedstrongconvergencealgorithminthepresenceoferrorsforvariationalinequalityproblemsinhilbertspaces AT donaloregan ageneralizedstrongconvergencealgorithminthepresenceoferrorsforvariationalinequalityproblemsinhilbertspaces AT ebrahimsoori ageneralizedstrongconvergencealgorithminthepresenceoferrorsforvariationalinequalityproblemsinhilbertspaces AT ravipagarwal ageneralizedstrongconvergencealgorithminthepresenceoferrorsforvariationalinequalityproblemsinhilbertspaces AT mostafaghadampour generalizedstrongconvergencealgorithminthepresenceoferrorsforvariationalinequalityproblemsinhilbertspaces AT donaloregan generalizedstrongconvergencealgorithminthepresenceoferrorsforvariationalinequalityproblemsinhilbertspaces AT ebrahimsoori generalizedstrongconvergencealgorithminthepresenceoferrorsforvariationalinequalityproblemsinhilbertspaces AT ravipagarwal generalizedstrongconvergencealgorithminthepresenceoferrorsforvariationalinequalityproblemsinhilbertspaces |