An Extragradient-type Algorithm for Variational Inequality on Hadamard Manifolds
Optimization and Control
2018-04-26 v1
Abstract
The aim of this paper is to present an extragradient method for variational inequality associated to a point-to-set vector field in Hadamard manifolds and to study its convergence properties. In order to present our method the concept of -enlargement of maximal monotone vector fields is used and its lower-semicontinuity is stablished in order to obtain the convergence of the method in this new context.
Cite
@article{arxiv.1804.09292,
title = {An Extragradient-type Algorithm for Variational Inequality on Hadamard Manifolds},
author = {E. E. A. Batista and G. C. Bento and O. P. Ferreira},
journal= {arXiv preprint arXiv:1804.09292},
year = {2018}
}