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Duality for fractional minimax programming problems

Published online by Cambridge University Press:  17 February 2009

Shri Ram Yadav  and
R. N. Mukherjee
Shri Ram Yadav
Affiliation:
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi-221 005, India.
R. N. Mukherjee
Affiliation:
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi-221 005, India.
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Abstract

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Duality theory is discussed for fractional minimax programming problems. Two dual problems are proposed for the minimax fractional problem: minimize maxy∈Υf(x, y)/h(x, y), subject to g(x) ≤ 0. For each dual problem a duality theorm is established. Mainly these are generalisations of the results of Tanimoto [14] for minimax fractional programming problems. It is noteworthy here that these problems are intimately related to a class of nondifferentiable fractional programming problems.

Type
Research Article
Information
The ANZIAM Journal , Volume 31 , Issue 4 , April 1990 , pp. 484 - 492
Copyright
Copyright © Australian Mathematical Society 1990

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