Duality of \((h, \varphi)\)-multiobjective programming involving generalized invex functions (Q1952886)

Summary: 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, \((h, \varphi)\)-pseudoinvex and \((h, \varphi)\)-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 \((h, \varphi)\)-multiobjective programming problems.