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An Extragradient-type Algorithm for Variational Inequality on Hadamard Manifolds
E. E. A. Batista, G. C. Bento, O. P. Ferreira
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…
Enlargement of Monotone Vector Fields and an Inexact Proximal Point Method for Variational Inequalities in Hadamard Manifolds
E. E. A. Batista, G. C. Bento, O. P. Ferreira
In this paper an inexact proximal point method for variational inequalities in Hadamard manifolds is introduced and studied its convergence properties. The main tool used for prese…
An Existence Result for the Generalized Vector Equilibrium Problem on Hadamard Manifold
E. E. A. Batista, G. C. Bento, O. P. Ferreira
A sufficient condition for the existence of a solution for generalized vector equilibrium problem (GVEP) on Hadamard manifold, by using a version of KKM lemma on this context, is p…