RT Book, Section
SR 00
ID 10.1007/978-3-642-46607-6_45
A1 Valyi, I.
T1 Epsilon Solutions and Duality in Vector Optimization
YR 1987
FD 1987
VO 285
SP 417
OP 426
AB The study of epsilon solutions in vector optimization problems was started in 1979 by S. S. Kutateladze [1]. These types of solutions are interesting because of their relation to non-differentiable optimization and the vector valued extensions of Ekeland’s variational principle as considered by P. Loridan [2] and I. Vályi [3], but computational aspects are perhaps even more important. In practical situations, namely, we often stop the calculations at values that we consider sufficiently close to the optimal solution, or use algorithms that result in some approximates of the Pareto set. Such procedures can result in epsilon solutions that are under study in this paper. A paper by D. J. White [4] deals with this issue and investigates how well these solutions approximate the exact solutions.
A2 Sawaragi, Y.
A2 Inoue, K.
A2 Nakayama, H.
T2 Toward Interactive and Intelligent Decision Support Systems
PB Springer Berlin Heidelberg
PP Germany
T3 Lecture Notes in Economics and Mathematical Systems
SN 978-3-642-46607-6
AV Published
LK https://pure.iiasa.ac.at/id/eprint/14142/