Remark regarding two classes of almost contractions with unique fixed point

We discuss the equivalence between two classes of almost contractions with unique fixed point, namely those introduced in [Berinde, V. , Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Analysis Forum, 9 (2004), No. 1, 43-53] and, respectively, [Babu, G. V. R., Sandhya, M. L., Kameswari, M. V. R., A note on a fixed point theorem of Berinde on weak contractions, Carpathian J. Math., 24 (2008), No. 1, 8-12]. Interesting generalizations are possible in view of this equivalence.