Summary: We discuss the equivalence between two classes of almost contractions with unique fixed point, namely those introduced in V. Berinde
[Nonlinear Anal. Forum 9, No. 1, 43–53 (2004; Zbl 1078.47042
)] and, respectively, G. V. R. Babu
, M. L. Sandhya
and M. V. R. Kameswari
[Carpathian J. Math. 24, No. 1, 8–12 (2008; Zbl 1199.54205
)]. Interesting generalizations are possible in view of this equivalence.