This paper is about a variable Krasnosel’skij–Mann algorithm
in Banach spaces and its weak convergence to a fixed point of the mapping
is a sequence in
is a sequence of nonexpansive mappings such that
. Furthermore, the author applies his result to solve the split feasibility problem, i.e., finding a point
are closed convex convex subsets of Hilbert spaces. The algorithm is also generalized for solving multiple-set split feasibility problems. It would have been helpful if some examples had been used to illustrate the process.