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Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem.
- Source :
-
Fixed Point Theory & Applications . 6/18/2018, Vol. 2018 Issue 1, p1-1. 1p. - Publication Year :
- 2018
-
Abstract
- Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E∗<inline-graphic></inline-graphic>. In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to approximate a common element of solutions of variational inequality problems and fixed points of a countable family of relatively nonexpansive maps. The theorems proved are improvement of the results of Censor et al. (J. Optim. Theory Appl. 148:318-335, <xref>2011</xref>). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871820
- Volume :
- 2018
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Fixed Point Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 130228387
- Full Text :
- https://doi.org/10.1186/s13663-018-0641-4