Fritz john second-order duality for nonlinear programming

  title={Fritz john second-order duality for nonlinear programming},
  author={I. Husain and Norma G. Rueda and Z. Jabeen},
  journal={Appl. Math. Lett.},
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.