Generic convergence of iterates for a class of nonlinear mappings
© Reich and Zaslavski 2004
Received: 4 March 2004
Published: 26 August 2004
Let be a nonempty, bounded, closed, and convex subset of a Banach space. We show that the iterates of a typical element (in the sense of Baire's categories) of a class of continuous self-mappings of converge uniformly on to the unique fixed point of this typical element.