Weak convergence to the fixed point of an asymptotically nonexpansive map-Reference-Cited by-同舟云学术

Weak convergence to the fixed point of an asymptotically nonexpansive map

Published:1978 Issue:3 Volume:68 Page:305-308
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bose S. C.

Abstract

It is proved that, in certain Banach spaces, any asymptotically nonexpansive and asymptotically regular map has the property that its iterates, applied to any point in the domain, give a sequence converging weakly to a fixed point.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-068-03/S0002-9939-1978-0493543-4/S0002-9939-1978-0493543-4.pdf

Reference9 articles.

1. S. C. Bose, On nonexpansive and asymptotically nonexpansive mappings (unpublished work).

2. Multivalued nonexpansive mappings and Opial’s condition;Lami Dozo, E.;Proc. Amer. Math. Soc.,1973

3. Fixed point theorems in uniformly convex Banach spaces;Edelstein, Michael;Proc. Amer. Math. Soc.,1974

4. The construction of an asymptotic center with a fixed-point property;Edelstein, Michael;Bull. Amer. Math. Soc.,1972

5. A fixed point theorem for asymptotically nonexpansive mappings;Goebel, K.;Proc. Amer. Math. Soc.,1972

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