Abstract
Let H be a Hilbert space, (W-n)(n is an element of N) a suitable family of mappings, S a nonexpansive mapping and D a strongly monotone operator. We are interested in the strong convergence of the general scheme
x(n+1) = gamma x(n) + (1 - gamma)W-n(alpha(n)Sx(n) + (1 - alpha(n))(I - mu D-n)x(n)), gamma is an element of [0, 1),
in dependence of the coefficients (alpha(n))(n is an element of N) and (mu(n))(n is an element of N).