Construction of fixed points for asymptotically nonexpansive mappings

Passty, Gregory B.

doi:10.1090/S0002-9939-1982-0637171-7

Construction of fixed points for asymptotically nonexpansive mappings
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by Gregory B. Passty PDF

Proc. Amer. Math. Soc. 84 (1982), 212-216 Request permission

Abstract:

In uniformly convex Banach spaces with Fréchet differentiable norms (e.g. ${L^p}$, $1 < p < \infty$), fixed points for asymptotically nonexpansive mappings are constructed as weak limits of iterates of the mappings themselves or of related mappings.

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