Construction of sunny nonexpansive retractions in Banach spaces
T. Domínguez Benavides, Genaro López-Acedo, Hong‐Kun Xu · Bulletin of the Australian Mathematical Society · 2002
Let be a commutative family of nonexpansive self-mappings of a closed convex subset C of a uniformly smooth Banach space X such that the set of common fixed points is nonempty. It is shown that if a certain regularity condition is satisfied, then the sunny nonexpansive retraction from C to F can be constructed in an iterative way.