Article citationsMore>>

J. Benoist and N. Popovici, “Characterizations of Convex and Quasiconvex Set-Valued Maps,” Mathematical Methods of Operations Research, Vol. 57, No. 3, 2003, pp. 427-435. doi:10.1007/978-3-540-24828-6

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.