eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2333-4576 2014-06-30 2 4 193 202 10.12691/ajams-2-4-3 AJAMS2014243 article I. Husain ihusain11@yahoo.com, jainvikas13@yahoo.com 1 Vikas K. Jain 1 Abdul Raoof Shah 2 Department of Mathematics, Jaypee University of Engineering and Technology, Guna, India Department of Statistics, University of Kashmir, Srinagar, India A generalized dual to a control problem containing support functions is formulated and various duality theorems are established under generalized convexity hypotheses. This dual model represents the combination of Wolfe and Mond-Weir type dual models to the control problem and hence it is described as a generalized dual. Some special cases are obtained. A close relationship of duality results with those of the nonlinear programming problems involving support functions is indicated. http://pubs.sciepub.com/ajams/2/4/3/ajams-2-4-3.pdf control problem support function optimality conditions generalized duality converse duality nonlinear programming