TITLE:
Multiobjective Duality in Variational Problems with Higher Order Derivatives
AUTHORS:
Iqbal. Husain, Rumana. G. Mattoo
KEYWORDS:
Multiobjective Variational Problem; Efficiency; Duality; Pseudoinvexity; Quasinvexity; Nonlinear Programming
JOURNAL NAME:
Communications and Network,
Vol.2 No.2,
May
31,
2010
ABSTRACT: A multiobjective variational problem involving higher order derivatives is considered and optimality condi-tions for this problem are derived. A Mond-Weir type dual to this problem is constructed and various duality results are validated under generalized invexity. Some special cases are mentioned and it is also pointed out that our results can be considered as a dynamic generalization of the already existing results in nonlinear programming.