A proof of the mean ergodic theorem for nonexpansive mappings in Banach space
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- by Norimichi Hirano PDF
- Proc. Amer. Math. Soc. 78 (1980), 361-365 Request permission
Abstract:
Let C be a closed convex subset of a uniformly convex Banach space. Let $T:C \to C$ be a nonexpansive mapping. In this paper, we deal with the weak convergence of the arithmetical means of the sequence ${T^n}x$, and give a new proof of the mean ergodic theorem for nonexpansive mappings.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 361-365
- MSC: Primary 47H09; Secondary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553377-8
- MathSciNet review: 553377