3 papers
math.OC2025
Regularized Multiobjective Optimization with Directionally Lipschitzian Data
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +2
The paper is devoted to the study of regularized versions of multiobjective optimization problems described by directionally Lipschitzian functions. Such regularizations appear in…
math.OC2025
An Adaptive Proximal Point Method for Nonsmooth and Nonconvex Optimization on Hadamard Manifolds
Vitaliano S. Amaral, Marcio Antônio de A. Bortoloti, Jurandir O. Lopes +1
This paper addresses a class of nonsmooth and nonconvex optimization problems defined on complete Riemannian manifolds. The objective function has a composite structure, combining…
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…