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A duality theorem for a nondifferentiable nonlinear fractional programming problem

Published online by Cambridge University Press:  17 April 2009

B. Mond  and
B.D. Craven
B. Mond
Affiliation:
Department of Pure Mathematics, La Trobe University, Bundoora, Victoria;
B.D. Craven
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, victoria.
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Abstract

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A duality theorem, and a converse duality theorem, are proved for a nonlinear fractional program, where the numerator of the objective function involves a concave function, not necessarily differentiable, and also the support function of a convex set, and the denominator involves a convex function, and the support function of a convex set. Various known results are deduced as special cases.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 3 , June 1979 , pp. 397 - 406
Copyright
Copyright © Australian Mathematical Society 1979

References

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