Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity

Abstract

The purpose of this paper is to introduce second order (<i>K</i>, <i>F</i>)-pseudoconvex and second order strongly (<i>K</i>, <i>F</i>)- 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.