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X. M. Yang, X. Q. Yang and K. L. Teo, “Non-Differentiable Second Order Symmetric Duality in Mathematical Programming with F-Convexity,” European Journal of Operational Research, Vol. 144, 2003, pp. 554-559. doi:10.1016/S0377-2217(02)00156-X

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.