1 citations · 1 across the 7 of their papers we have counts for
9 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…
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…
Riemannian manifolds with Anosov geodesic flow do not have conjugate points
Ítalo Melo, Sergio Romaña
This paper establishes a significant result concerning the absence of conjugate points in certain complete Riemannian manifolds. Specifically, we demonstrate that any complete non-…
Contributions to the study of Anosov Geodesic Flows in Non-Compact Manifolds
Ítalo Melo, Sergio Romaña
In this paper we prove that if the geodesic flow of a {compact or non-compact} complete manifold without conjugate points is of the Anosov type, then the average of the integral of…
Some Rigidity Theorem for Anosov Geodesic Flows
Ítalo Dowell, Sergio Romaña
In this paper, we prove that if the geodesic flow of a complete manifold without conjugate points with sectional curvatures bounded below by is of Anosov type, then the cons…
A Divergence Theorem for non-Compact Riemannian Manifolds: a Dynamical Approach
Ítalo Melo, Enrique Pujals
In this paper we use a dynamical approach to prove some new divergence theorems on complete non-compact Riemannian manifolds.
Convexity and some geometric properties
J. X. Cruz Neto, Ítalo Melo, Paulo Sousa
The main goal of this paper is to present results of existence and non-existence of convex functions on Riemannian manifolds and, in the case of the existence, we associate such fu…
On -Weakly Hyperbolic Iterated Function Systems
Ítalo Melo
In this paper we will consider the concept of -weakly hyperbolic iterated function systems on compact metric spaces that generalizes the concept of weakly hyperbolic it…