# Fritz john second-order duality for nonlinear programming

@article{Husain2001FritzJS, title={Fritz john second-order duality for nonlinear programming}, author={I. Husain and Norma G. Rueda and Z. Jabeen}, journal={Appl. Math. Lett.}, year={2001}, volume={14}, pages={513-518} }

- Published 2001 in Appl. Math. Lett.
DOI:10.1016/S0893-9659(00)00186-5

A second-order dual to a nonlinear programming problem is formulated. This dual uses the Ritz John necessary optimality conditions instead of the Karush-Kuhn-Tucker necessary optimal&y conditions, and thus, does not require a constraint qualification. Weak, strong, strict-converse, and converse duality theorems between primal and dual problems are established.