Approximation of fixed points of asymptotically nonexpansive mappings
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- by Jürgen Schu PDF
- Proc. Amer. Math. Soc. 112 (1991), 143-151 Request permission
Abstract:
Let $T$ be an asymptotically nonexpansive self-mapping of a non-empty closed, bounded, and starshaped (with respect to zero) subset of a smooth reflexive Banach space possessing a duality mapping that is weakly sequentially continuous at zero. Then, if id-$T$ is demiclosed and $T$ satisfies a strengthened regularity condition, the iteration process ${z_{n + 1}}: = {\mu _{n + 1}}{T^n}({z_n})$ converges strongly to some fixed point of $T$, provided $({\mu _n})$ has certain properties.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 143-151
- MSC: Primary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1991-1039264-7
- MathSciNet review: 1039264