RT info:eu-repo/semantics/article
T1 Limit behavior of approximate proper solutions in vector optimization
A1 Gutiérrez Vaquero, César
A1 Huerga, Lidia
A1 Novo, Vicente
A1 Sama, Miguel
K1 Vector optimization
K1 Approximate efficiency
K1 Approximate proper efficiency
K1 Dilating cone
K1 Approximating family of cones
AB In the framework of a vector optimization problem, we provide conditions for approximate proper solutions to tend to exact weak/efficient/proper solutions when the error tends to zero. This limit behavior depends on an approximation set that is used to define the approximate proper efficient solutions. We also study the special case when the final space of the vector optimization problem is normed, and more particularly, when it is finite dimensional. In these specific frameworks, we provide several explicit constructions of dilating ordering cones and approximation sets that lead to the desired limit behavior. In proving our results, new relationships between different concepts of approximate proper efficiency are stated.
PB Society for Industrial and Applied Mathematics
SN 1052-6234
YR 2019
FD 2019
LK https://uvadoc.uva.es/handle/10324/74139
UL https://uvadoc.uva.es/handle/10324/74139
LA eng
NO SIAM Journal on Optimization, 2019, 29, 4, 2677-2696
NO Producción Científica
DS UVaDOC
RD 22-may-2025