International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 1, Pages 109-124
doi:10.1155/IJMMS.2005.109
Abstract
The concept of mixed-type duality has been extended to the class of
multiobjective fractional variational control problems. A number
of duality relations are proved to relate the efficient solutions
of the primal and its mixed-type dual problems. The results are
obtained for ρ-convex (generalized ρ-convex) functions.
The results generalize a number of duality results previously
obtained for finite-dimensional nonlinear programming problems
under various convexity assumptions.