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T. Illes and G. Kassay, “Theorem of Alternative and Optimality Conditions for Convexlike and General Convexlike Programming,” Journal of Optimization Theory and Applications, Vol. 101, No. 2, 1999, pp. 243-257. doi:10.1023/A:1021781308794

has been cited by the following article:

• 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.