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Advances in Operations Research
Volume 2013, Article ID 708979, 9 pages
Research Article

Optimality Conditions and Duality of Three Kinds of Nonlinear Fractional Programming Problems

Department of Mathematics, Chengdu University of Information Technology, Sichuan 610225, China

Received 5 April 2013; Accepted 24 October 2013

Academic Editor: Ching-Jong Liao

Copyright © 2013 Xiaomin Zhang and Zezhong Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Some assumptions for the objective functions and constraint functions are given under the conditions of convex and generalized convex, which are based on the -convex, -convex, and -convex. The sufficiency of Kuhn-Tucker optimality conditions and appropriate duality results are proved involving -convex, -convex, and generalized -convex functions.