Duality of ( h , φ ) -Multiobjective Programming Involving Generalized Invex Functions

Abstract

In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions. Two classes of functions, namely, $(h,\phi )$-pseudoinvex and $(h,\phi )$-quasi-invex, are defined for a vector function. By utilizing these two classes of functions, some dual theorems are established for conditionally proper efficient solution in $(h,\phi )$-multiobjective programming problems.