Krasnoselskii's iteration process in hyperbolic space
W. A. Kirk · Numerical Functional Analysis and Optimization · 1982
A well-known iteration scheme due to Krasnoselskii for approximation of fixed points of nonexpansive mappings in Banach spaces is extended to a wider class of spaces. This class includes convex metric spaces of ‘hyperbolic’ type, and the results apply to the study of holomorphic self-mappings of the unit ball in complex Hilbert space.