This paper extends results of S. Tanimoto
[J. Math. Anal. Appl. 79, 286-294 (1981; Zbl 0453.90077
)] to the minimax fractional problem (P): Minimize
subject to g(x)
, where Y is a compact subset of
are differentiable functions on
is a convex and differentiable function. Two dual problems to problem (P) are proposed and for each dual problem a duality theorem is established. Converse duality is also discussed.