Asymptotic behaviour of firmly nonexpansive sequences

Djafari Rouhani, Behzad

doi:10.1090/S0002-9939-1995-1234631-4

Asymptotic behaviour of firmly nonexpansive sequences
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Proc. Amer. Math. Soc. 123 (1995), 771-777 Request permission

Abstract:

We introduce the notion of firmly nonexpansive sequences in a Banach space and present several results concerning their asymptotic behaviour extending previous results and giving an affirmative answer to an open question raised by S. Reich and I. Shafrir [Proc. Amer. Math. Soc. 101 (1987), 246-250]. Applications to averaged mappings are also given.

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