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Generic convergence of iterates for a class of nonlinear mappings
Fixed Point Theory and Applications volume 2004, Article number: 480953 (2004)
Abstract
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.
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Reich, S., Zaslavski, A.J. Generic convergence of iterates for a class of nonlinear mappings. Fixed Point Theory Appl 2004, 480953 (2004). https://doi.org/10.1155/S1687182004403015
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DOI: https://doi.org/10.1155/S1687182004403015