RT info:eu-repo/semantics/article
T1 Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets
A1 Gutiérrez Vaquero, César
K1 Set-valued optimization
K1 Free disposal set
K1 Weak efficiency
K1 Quasi interior
K1 Quasi-relative interior
K1 Linear scalarization
K1 Nearly subconvexlikeness
K1 Lagrangian optimality condition
AB This work concerns with a vector optimization problem with set-valued mappings. In solving this problem, weakly efficient solutions with respect to the so-called vector criterion are considered. These solutions are defined via the notion of quasi interior, in order to provide useful results to certain problems where the topological and algebraic interior of the ordering cone is empty. Moreover, the domination set that defines the domination structure of the problem is assumed to be free disposal with respect to a convex cone. In this setting, optimality conditions via linear scalarization results and Lagrangian multiplier theorems are stated. Some of them improve several recent ones of the literature, since they are obtained under weaker assumptions
PB Yokohama Publishers
SN 1345-4773
YR 2019
FD 2019
LK https://uvadoc.uva.es/handle/10324/74141
UL https://uvadoc.uva.es/handle/10324/74141
LA spa
NO Journal of Nonlinear and Convex Analysis, 2019, vol. 20, n. 12, p. 2507-2523
NO Producción Científica
DS UVaDOC
RD 26-jul-2025