Higher‐Order Generalized Invexity in Control Problems

We introduce a higher‐order duality (Mangasarian type and Mond‐Weir type) for the control problem. Under the higher‐order generalized invexity assumptions on the functions that compose the primal problems, higher‐order duality results (weak duality, strong duality, and converse duality) are derived for these pair of problems. Also, we establish few examples in support of our investigation.