3 papers
math.OC2024
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…
math.DG2016
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…
math.OC2014
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…