Recent trends in vector optimization

Sorin-Mihai Grad (1, 2, 3, 4)

1 UMA - Unité de Mathématiques Appliquées
2 OC - Optimisation et commande
3 ENSTA Paris - École Nationale Supérieure de Techniques Avancées
4 IP Paris - Institut Polytechnique de Paris

We discuss about some current developments in Vector Optimization. Emphasis will be placed on recent contributions on algorithmic methods for solving vector optimization problems. In particular we will talk about the existing extensions of the proximal point methods towards Vector Optimization and about some open questions in this direction.

Mots clés: Vector optimization; Multiobjective optimization; Proximal Algorithm; Pareto Optimality

Domaines: Optimisation et contrôle [math.OC]; Analyse numérique [math.NA]

Sorin-Mihai Grad. Recent trends in vector optimization. Workshop on Nonlinear Operator Theory, African University of Science and Technology; Fields Institute, Mar 2022, Abuja, Nigeria. ⟨hal-04005347⟩