Volume 26, 2020
|Number of page(s)||16|
|Published online||16 September 2020|
An extragradient-type algorithm for variational inequality on Hadamard manifolds
CCET, Universidade Federal do Oeste da Bahia,
BA 47808-021, Brazil.
2 IME, Universidade Federal de Goiás, Goiânia, GO 74001-970, Brazil.
* Corresponding author: email@example.com
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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