A fixed-point theorem for asymptotically contractive mappings

Penot, Jean-Paul

doi:10.1090/S0002-9939-03-06999-5

A fixed-point theorem for asymptotically contractive mappings
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by Jean-Paul Penot

Proc. Amer. Math. Soc. 131 (2003), 2371-2377

DOI: https://doi.org/10.1090/S0002-9939-03-06999-5

Published electronically: March 11, 2003

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Abstract:

We present fixed point theorems for a nonexpansive mapping from a closed convex subset of a uniformly convex Banach space into itself under some asymptotic contraction assumptions. They generalize results valid for bounded convex sets or asymptotically compact sets.

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