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A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces.
- Source :
-
Journal of Inequalities & Applications . 2/3/2020, Vol. 2020 Issue 1, p1-13. 13p. - Publication Year :
- 2020
-
Abstract
- In this paper, we introduce an algorithm for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in Banach space. We modify the subgradient extragradient methods with a new and simple iterative step size, the strong convergence of algorithm is established without the knowledge of the Lipschitz constant of the mapping. Finally, a numerical experiment is presented to show the efficiency and advantage of the proposed algorithm. Our results generalize some of the work in Hilbert spaces to Banach spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2020
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 141531267
- Full Text :
- https://doi.org/10.1186/s13660-020-2295-0