3 papers
math.OC2026
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…
math.DG2026
Subdifferential theory and the Fenchel conjugate via Busemann functions on Hadamard manifolds
G. C. Bento, J. X. Cruz Neto, I. D. L. Melo
In this paper, we propose a notion of subdifferential defined via Busemann functions and use it to identify a condition under which the Fenchel-Young inequality of Bento, Cruz Neto…
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…