EQUICONTINUITY OF ITERATES OF AN INTERVAL MAP
Andrew M. Bruckner, Thakyin Hu · Tamkang Journal of Mathematics · 1990
The purpose of this paper is to determine conditions under which equicontinuity of the family of iterates $\{f_n\}$ of a continuous function that maps a compact interval $I$ into itself does occur. We shall see that this happens ouly under exceptional circumstances.