3 papers
math.OC2026
Ball-proximal point method on a Hadamard Manifolds
F. Babu, O. P. Ferreira, L. F. Prudente +2
We consider the problem of minimizing a proper, lower semicontinuous, geodesically convex function on a Hadamard manifold. Building on ball-proximal (broximal) ideas in the Euclide…
math.OC2025
Trust-Region Method for Optimization of Set-Valued Maps Given by Finitely Many Functions
Suprova Ghosh, Debdas Ghosh, Christiane Tammer +1
In this article, we develop a trust-region technique to find critical points of unconstrained set optimization problems with the objective set-valued map defined by finitely many t…
math.OC2024
Quasi-Newton Method for Set Optimization Problems with Set-Valued Mapping Given by Finitely Many Vector-Valued Functions
Debdas Ghosh, Anshika, Jen-Chih Yao +1
In this article, we propose a quasi-Newton method for unconstrained set optimization problems to find its weakly minimal solutions with respect to lower set-less ordering. The set-…