Second-Order Duality for Variational Problems

Iqbal Husain, Aquil Ahmed, Mashoob Masoodi

Abstract

A Mond-Weir type second order dual to a variational problem is constructed and the notion of second order invexity and second order generalized invexity are introduced in variational problems. Under these second order pseudoinvexity and second order quasi-invexity assumptions, weak, strong and converse duality results are established. It is pointed out that our duality results can be considered as dynamic generalizations of corresponding (static) duality results in nonlinear programming.

Keywords

A Mond-Weir type second order dual, variational problem, second order invexity, natural boundary values, nonlinear programming.

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