5 citations · 7 across the 8 of their papers we have counts for
8 papers
Subgradient Methods on Manifolds with Lower Bounded Curvature
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +1
The subgradient method is a classical and foundational approach in non-smooth convex optimization; its simplicity, robustness, and role as a conceptual and algorithmic starting poi…
Busemann-coupling subdifferentials and Fenchel biconjugation on Hadamard manifolds
G. C. Bento, J. X. Cruz Neto, I. D. L. Melo
We introduce an intrinsic subdifferential on Hadamard manifolds induced by a base-point-dependent Busemann coupling, motivated by the scarcity of nonconstant affine functions on no…
A Refined Proximal Algorithm for Nonconvex Multiobjective Optimization in Hilbert Spaces
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +2
This paper is devoted to general nonconvex problems of multiobjective optimization in Hilbert spaces. Based on Mordukhovich's limiting subgradients, we define a new notion of Paret…
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…
Existence Results for Particular Instances of the Vector Quasi-Equilibrium Problem on Hadamard Manifolds
G. C. Bento, J. X. Cruz Neto
We show the validity of select existence results for a vector optimization problem, and a variational inequality. More generally, we consider generalized vector quasi-variational i…
A proximal point algorithm with generalized proximal distances to BEPs
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +2
We consider a bilevel problem involving two monotone equilibrium bifunctions and we show that this problem can be solved by a proximal point method with generalized proximal distan…
Proximal algorithms with Bregman distances for bilevel equilibrium problems with application to the problem of "how routines form and change" in Economics and Management Sciences
G. C. Bento, J. X. Cruz Neto, P. A. Soares +1
In this paper we present the bilevel equilibrium problem under conditions of pseudomonotonicity. Using Bregman distances on Hadamard manifolds we propose a framework for to analyse…
Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds
G. C. Bento, J. X. Cruz Neto, P. A. Soares +1
In this paper we present a sufficient condition for the existence of a solution for an equilibrium problem on an Hadamard manifold and under suitable assumptions on the sectional c…