Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 148, Issue 2, Pages 318-335Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-010-9757-3
Keywords
Extragradient method; Nonexpansive mapping; Subgradient; Variational inequalities
Funding
- National Heart, Lung and Blood Institute [R01HL070472]
- Israel Science Foundation [647/07]
- Fund for the Promotion of Research at the Technion
- Technion
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We present a subgradient extragradient method for solving variational inequalities in Hilbert space. In addition, we propose a modified version of our algorithm that finds a solution of a variational inequality which is also a fixed point of a given nonexpansive mapping. We establish weak convergence theorems for both algorithms.
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