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<i>ε</i>-Optimality in Multivalued Optimization
Department of Mathematics, University of Delhi, Delhi, India
Department of Mathematics, University of Delhi, Delhi, India
- 1 Department of Mathematics, University of Delhi, Delhi, India
- 2 Department of Mathematics, University of Delhi, Delhi, India
American Journal of Operations Research·Volume 03 (2013)·Pages 413–420·Published 12 July 2013·DOI10.4236/ajor.2013.34039
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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.
KeywordsD-MultifunctionPartial-ε-Minimum Pointε-Optimalityε-Duality
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