| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 63 | |
| Number of page(s) | 16 | |
| DOI | https://doi.org/10.1051/cocv/2019040 | |
| Published online | 16 September 2020 | |
An extragradient-type algorithm for variational inequality on Hadamard manifolds
1
CCET, Universidade Federal do Oeste da Bahia,
Barreiras,
BA 47808-021, Brazil.
2
IME, Universidade Federal de Goiás,
Goiânia,
GO 74001-970, Brazil.
* Corresponding author: edvaldo.batista@ufob.edu.br
Received:
17
April
2018
Accepted:
19
June
2019
This paper presents an extragradient method for variational inequality associated with a point-to-set vector field in Hadamard manifolds, and a study of its convergence properties. To present our method, the concept of ϵ-enlargement of maximal monotone vector fields is used, and its lower-semicontinuity is established to obtain the method convergence in this new context.
Mathematics Subject Classification: 90C33 / 65K05 / 47J25
Key words: Extragradient algorithm / Hadamard manifolds / ϵ-enlargement / lower semicontinuity
© EDP Sciences, SMAI 2020
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