Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity

Mohamed Abd El-Hady Kassem
DOI: 10.4236/am.2011.210172                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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