This article deals with iterations of the form
to a common fixed point of a finite family of uniformly continuous mappings in a real uniformly convex Banach space . It is assumed that the , , map a nonempty closed convex set into itself, have common fixed points, and satisfy the condition
is a bounded sequence in ; are sequences in , , (), ; , and .
The main result is the following: if at least one is semi-compact (i.e., the relations and imply that has a convergent subsequence), then converges strongly to a common fixed point if , . As the authors state, their “results are generalizations of some well-known results in the current literature”.