Approximation of fixed points of asymptotically nonexpansive mappings

Author:
Jürgen Schu

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

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Abstract | References | Similar Articles | Additional Information

Abstract: Let 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- is demiclosed and satisfies a strengthened regularity condition, the iteration process converges strongly to some fixed point of , provided has certain properties.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1991-1039264-7

Keywords:
Fixed point,
iteration process,
asymptotically nonexpansive mapping

Article copyright:
© Copyright 1991
American Mathematical Society