The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Research Article

Duality for fractional minimax programming problems

Shri Ram Yadava1 and R. N. Mukherjeea1

a1 Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi-221 005, India.


Duality theory is discussed for fractional minimax programming problems. Two dual problems are proposed for the minimax fractional problem: minimize maxyxs2208Υ f(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.

(Received November 02 1987)

(Revised January 12 1989)