3 papers
math.OC2021
Elements of Convex Geometry in Hadamard Manifolds with Application to Equilibrium Problems
G. C. Bento, J. X. Cruz Neto, I. D. L. Melo
In this paper, is introduced a new proposal of resolvent for equilibrium problems in terms of the Busemann's function. A great advantage of this new proposal is that, in addition t…
math.OC2021
An inexact proximal point method for variational inequality on Hadamard manifolds
G. C. Bento, O. P. Ferreira, E. A. Papa Quiroz
In this paper we present an inexact proximal point method for variational inequality problem on Hadamard manifolds and study its convergence properties. The proposed algorithm is i…
math.OC2018
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…