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

摘要

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,) -pseudoinvex and (h,) -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,) -multiobjective programming problems.