A fixed-point theorem for asymptotically contractive mappings

Jean‐Paul Penot

Type: Article

Publication Date: 2003-03-11

Citations: 31

DOI: https://doi.org/10.1090/s0002-9939-03-06999-5

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.

Locations

Proceedings of the American Mathematical Society - View - PDF

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