RT info:eu-repo/semantics/article
T1 Further results on quasi efficient solutions in multiobjective optimization
A1 Gutiérrez, César
K1 Generalized convexity
K1 Linear scalarization
K1 Multiobjective optimization
K1 Quasi efficient solution
AB This work focuses on quasi efficient solutions of a vector optimization problem. Namely, it is assumed the objective function to map values between finite dimensional spaces and the ordering in the final space is defined by a pointed convex cone. In this setting, several new concepts of quasi efficient solutions are introduced and their basic properties are obtained. After that, it is studied their limit behavior in order to deduce when they approximate well other kind of efficient solutions of the problem. Finally, in convex problems, linear scalarization results are stated that relate the introduced quasi efficient solutions with solutions of scalar optimization problems. The concepts and results of the paper extend and clarify several ones of the recent literature
PB Biemdas Academic Publishers
SN 2560-6921
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/74161
UL https://uvadoc.uva.es/handle/10324/74161
LA eng
NO Journal of Nonlinear and Variational Analysis, 2023, vol. 7, n. 5 p. 687-714
NO Producción Científica
DS UVaDOC
RD 22-ene-2025