  In this paper, we compute quadratic rates of asymptotic regularity for the
Tikhonov-Mann iteration in W-hyperbolic spaces. This iteration is an extension
to a nonlinear setting of the modified Mann iteration defined recently by Bot,
Csetnek and Meier in Hilbert spaces. Furthermore, we show that the
Douglas-Rachfors and forward-backward algorithms with Tikhonov regularization
terms are special cases, in Hilbert spaces, of our Tikhonov-Mann iteration.
