generic uniqueness of equilibrium points

let x be a nonempty, convex and compact subset of normed linear space e (respectively, let x be a nonempty, bounded, closed and convex subset of banach space e and a be a nonempty, convex and compact subset of x) and f:x×x→r be a given function, the uniqueness of equilibrium point for equilibrium problem which is to find x^∗∈x (respectively, x^∗∈a) such that f(x^∗,y)≥0 for all y∈x (respectively, f(x^∗,y)≥0 for all y∈a) is studied with varying f (respectively, with both varying f and varying a). the results show that most of equilibrium problems (in the sense of baire category) have unique equilibrium point.