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.