Rigid sets and nonexpansive mappings

DiLena, Giovanni; Messano, Basilio; Roux, Delfina

doi:10.1090/S0002-9939-97-04053-7

Rigid sets and nonexpansive mappings
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by Giovanni DiLena, Basilio Messano and Delfina Roux PDF

Proc. Amer. Math. Soc. 125 (1997), 3575-3580 Request permission

Abstract:

We introduce a new class of normed spaces (not necessarily finite dimensional), which contains the finite dimensional normed spaces with polyhedral norm. We study the properties of rigid sets of the spaces of this class and we apply the results to limit sets of the sequences of iterates of nonexpansive maps.

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