L. Huerga Pastor, C. Gutiérrez Vaquero, B. Jiménez, V. Novo Sanjurjo, M. Sama
We present a notion of approximate proper solution in the sense of Henig for a vector optimization problem. The error of this type of solutions is measured by means of a non negative scalar and an approximation set. We study the properties of these solutions and we see that, depending on the election of the approximation set, the collection of approximate proper solutions provides a good approximation of the efficient set.
Then, in particular, we focus on a vector optimization problem whose objective mapping is given by a difference of mappings, and we characterize the Henig approximate proper solutions of this problem in terms of special types of approximate subdifferentials of the involved mappings.
Palabras clave / Keywords: vector optimization, approximate proper efficiency, optimization of difference of vector mappings, approximate subdifferential
Programado
Sesión GT11-1: Optimización Continua-1 (OPTIMIZACIÓN-1). Organizador: Vicente Novo Sanjurjo
29 de mayo de 2018 09:10
Sala 6
