International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 1, Pages 109-124

Mixed-type duality for multiobjective fractional variational control problems

Raman Patel

Department of Statistics, South Gujarat University, Surat 395007, India

Received 20 July 2003; Revised 2 August 2003

Copyright © 2005 Raman Patel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.