Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity

Mohamed Abd El-Hady Kassem
2011 Applied Mathematics  
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.
doi:10.4236/am.2011.210172 fatcat:aq7tbomlzzav5hlbjbck7vw4uq