AJOR  Vol.3 No.4 , July 2013
ε-Optimality in Multivalued Optimization
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.


Cite this paper
S. Suneja and M. Sharma, "ε-Optimality in Multivalued Optimization," American Journal of Operations Research, Vol. 3 No. 4, 2013, pp. 413-420. doi: 10.4236/ajor.2013.34039.
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