Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 62631, 15 pages
doi:10.1155/JAMSA/2006/62631
Duality for multiobjective variational control and multiobjective fractional variational control problems with pseudoinvexity
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India
Received 4 March 2005; Revised 28 January 2006; Accepted 28 January 2006
Copyright © 2006 C. Nahak. 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.
Abstract
A class of multiobjective variational control and multiobjective
fractional variational control problems is considered, and the
duality results are formulated. Under pseudoinvexity assumptions
on the functions involved, weak, strong, and converse duality
theorems are proved.