Published March 19, 2019
| Version v1
Journal article
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A new modified subgradient extragradient method for solving variational inequalities
- 1. College of Sciences, Beibu Gulf University, Qinzhou, People's Republic of China; Chair of Optimization and Control, Jagiellonian University, Krakow, Poland
- 2. School of Science, Chongqing University of Posts and Telecommunications, Chongqing, People's Republic of China;d Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing, People's Republic of China
- 3. Faculty of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland
Description
The goal of the note is to introduce a new modified subgradient extragradient algorithm for solving variational inequalities in Hilbert spaces. A result on the strong convergence of the algorithm is proved without the knowledge of Lipschitz constant of the operator. Several numerical experiments for the proposed algorithm are presented.
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