# On Hausdorff intrinsic metric

## (*Lobachevskii Journal of Mathematics, Volume VIII*)

In this paper we prove that in the set of all nonempty bounded closed subsets of a metric space *(X,ρ )* the Hausdorff metric is the Hausdorff intrinsic metric if and only if the metric *ρ* is an intrinsic metric. In a space with an intrinsic metric we obtain the upper bound for the Hausdorff distance between generalized balls.