Optimality Conditions and Duality for a Class of Nonlinear Fractional Programming Problems Authors
Cite this article as: Liang, Z.A., Huang, H.X. & Pardalos, P.M. Journal of Optimization Theory and Applications (2001) 110: 611. doi:10.1023/A:1017540412396 Abstract
In this paper, we present sufficient optimality conditions and duality results for a class of nonlinear fractional programming problems. Our results are based on the properties of sublinear functionals and generalized convex functions.
Fractional programming sublinear functionals generalized convex functions optimality conditions duality References
Schaible, S., Fractional Programming, Handbook of Global Optimization, Edited by R. Horst and P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Netherlands, pp. 495–608, 1995.
Preta, V., On Efficiency and Duality for Multiobjective Programs, Journal of Mathematical Analysis and Applications, Vol. 166, pp. 356–377, 1992.
Jeyakumar, V., and Mond, B., On Generalized Convex Mathematical Programming, Journal of the Australian Mathematical Society, Vol. 34B, pp. 43–53, 1992.
Mangasarian, O. L., Nonlinear Programming, McGraw Hill, New York, NY, 1969.
Khan, Z. A., and Hanson, M. A., On Ratio Invexity in Mathematical Programming, Journal of Mathematical Analysis and Applications, Vol. 205, pp. 330–336, 1997.
Reddy, L. V., and Mukherjee, R.N., Some Results on Mathematical Programming with Generalized Ratio Invexity, Journal of Mathematical Analysis and Applications, Vol. 240, pp. 299–310, 1999. Copyright information
© Plenum Publishing Corporation 2001