Nonlinear programming with Hanson-Mond classes of functions

Hanson and Mond introduced generalized convex functions by weakening convex, quasiconvex and pseudoconvex functions. Under the Hanson-Mond generalized convexity conditions, the authors establish the sufficiency of Karush Kuhn-Tucker conditions for the nonlinear programming problem. Moreover, they investigate weak, strong and strictly converse duality between the nonlinear programming problem and the Mond-Weir dual problem.