DUALITY OF MULTITIME VECTOR INTEGRAL PROGRAMMING WITH QUASIINVEXITY

We consider a multitime vector variational problem (VVP) and a multitime vector fractional variational problem (VFP). In their recently published work , Mititelu and Postolache established necessary efficiency conditions for the two problems. By means of these conditions and using the framework of (ρ, b)-quasiinvexity, in this work we introduce duality conditions of Mond-Weir-Zalmai type for the fractional problem (VFP) through weak, direct and converse duality theorems. Our approach allows us to obtain some duality conditions for (VVP) as special cases in this theory.