TITLE:
ε-Optimality in Multivalued Optimization
AUTHORS:
S. K. Suneja, Megha Sharma
KEYWORDS:
D-Multifunction; Partial-ε-Minimum Point; ε-Optimality; ε-Duality
JOURNAL NAME:
American Journal of Operations Research,
Vol.3 No.4,
July
16,
2013
ABSTRACT: In this paper we apply the directional derivative technique to characterize D-multifunction, quasi D-multifunction and use them to obtain ε-optimality for set valued vector optimization problem with multivalued maps. We introduce the notions of local and partial-ε-minimum (weak) point and study ε-optimality, ε-Lagrangian multiplier theorem and ε-duality results.