RT info:eu-repo/semantics/article
T1 Generalized ε-quasi solutions of set optimization problems
A1 Gutiérrez, C.
A1 López, R.
A1 Martínez, J.
K1 Set optimization
K1 Approximate solution
K1 Generalized ε-quasi solution
K1 Asymptotic map
K1 Optimality condition
AB We introduce notions of generalized ε-quasi solutions to approximate set type solutions of set optimization problems. We study their properties, consistency and limit behavior as approximations to efficient and strict weak efficient solutions. Moreover, we prove an existence result for such solutions and a bound for their asymptotic cone. Finally, we obtain optimality conditions for them.
PB Springer
SN 0925-5001
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/74150
UL https://uvadoc.uva.es/handle/10324/74150
LA eng
NO Journal of Global Optimization, 2022, vol. 82, n. 3 p. 559-576
NO Producción Científica
DS UVaDOC
RD 22-ene-2025