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W. S. Dorn, “A Symmetric Dual Theorem for Quadratic Programs,” Journal of the Operations Research Society of Japan, Vol. 2, 1960, pp. 93-97.

has been cited by the following article:

• TITLE: Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity

  AUTHORS: Mohamed Abd El-Hady Kassem

  KEYWORDS: Multiobjective Programming, Second-Order Symmetric Dual Models, Duality Theorems, Pseudoconvex Functions, Cones

  JOURNAL NAME: Applied Mathematics, Vol.2 No.10, October 11, 2011

  ABSTRACT: The purpose of this paper is to introduce second order (K, F)-pseudoconvex and second order strongly (K, F)- pseudoconvex functions which are a generalization of cone-pseudoconvex and strongly cone-pseudoconvex functions. A pair of second order symmetric dual multiobjective nonlinear programs is formulated by using the considered functions. Furthermore, the weak, strong and converse duality theorems for this pair are established. Finally, a self duality theorem is given.