Multiobjective Duality in Variational Problems with Higher Order Derivatives

Iqbal. Husain, Rumana. G. Mattoo

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DOI: 10.4236/cn.2010.22021                

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.

Keywords

Multiobjective Variational Problem; Efficiency; Duality; Pseudoinvexity; Quasinvexity; Nonlinear Programming

Conflicts of Interest

The authors declare no conflicts of interest.

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