Scalarization results for weakly nondominated solutions of vector optimization problems defined by the notion of quasi interior

C. Gutiérrez Vaquero

The talk concerns with a constrained vector optimization problem with set-valued mappings and a free disposal domination set. Some characterizations through linear scalarization and Lagrangian multiplier theorems for weakly efficient solutions of this problem are provided, that work as long as the quasi interior of the domination set is nonempty and certain generalized convexity conditions on the data of the problem are satisfied.

Palabras clave: Vector optimization weakly efficient solution quasi interior domination set free disposal set linear scalarization Lagrangian optimality condition generalized convexity

J. Ruckmann, D. Hernandez

G. Ruiz Garzón, R. Osuna Gómez, A. Rufián Lizana, B. Hernández Jiménez, J. Ruiz Zapatero

L. Huerga, C. Gutiérrez Vaquero, B. Jiménez, V. Novo