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I. Husain, Abdul Raoof Shah and Rishi K. Pandey, ‘Duality for a control Problem with support function’, submitted for publication.

has been cited by the following article:

Article

Generalized Duality for a Nondifferentiable Control Problem

1Department of Mathematics, Jaypee University of Engineering and Technology, Guna, India

2Department of Statistics, University of Kashmir, Srinagar, India


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 4, 193-202
DOI: 10.12691/ajams-2-4-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
I. Husain, Vikas K. Jain, Abdul Raoof Shah. Generalized Duality for a Nondifferentiable Control Problem. American Journal of Applied Mathematics and Statistics. 2014; 2(4):193-202. doi: 10.12691/ajams-2-4-3.

Correspondence to: I.  Husain, Department of Mathematics, Jaypee University of Engineering and Technology, Guna, India. Email: ihusain11@yahoo.com, jainvikas13@yahoo.com

Abstract

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.

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