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Minimax fractional programming involving generalised invex functions

Published online by Cambridge University Press:  17 February 2009

H. C. Lai  and
J. C. Liu
H. C. Lai
Affiliation:
Department of Applied Mathematics, Chung Yuang Christian University, Chung Li 320, Taiwan; e-mail: [email protected].
J. C. Liu
Affiliation:
Section of Mathematics, National Overseas Chinese Student University, Linkou 24499 PO Box 1-1337, Taiwan.
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Abstract

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The convexity assumptions for a minimax fractional programming problem of variational type are relaxed to those of a generalised invexity situation. Sufficient optimality conditions are established under some specific assumptions. Employing the existence of a solution for the minimax variational fractional problem, three dual models, the Wolfe type dual, the Mond-Weir type dual and a one parameter dual type, are constructed. Several duality theorems concerning weak, strong and strict converse duality under the framework of invexity are proved.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 3 , January 2003 , pp. 339 - 354
Copyright
Copyright © Australian Mathematical Society 2003

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