A Proof of the Mean Ergodic Theorem for Nonexpansive Mappings in Banach Space
- 1 March 1980
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 78 (3), 361-365
- https://doi.org/10.2307/2042326
Abstract
Let C be a closed convex subset of a uniformly convex Banach space. Let be a nonexpansive mapping. In this paper, we deal with the weak convergence of the arithmetical means of the sequence , and give a new proof of the mean ergodic theorem for nonexpansive mappings.Keywords
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