Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces with Opial’s condition

Emmanuele, Giovanni

doi:10.1090/S0002-9939-1985-0781065-6

Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces with Opial’s condition
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Proc. Amer. Math. Soc. 94 (1985), 103-109 Request permission

Abstract:

We study the asymptotic behavior of the sequence of the iterates for a nonexpansive mapping, defined on a suitable subset of a Banach space with Opial’s condition. Some results are stated also for semigroups of nonexpansive mappings and for mappings of asymptotically nonexpansive type in uniformly convex Banach spaces with Opial’s condition.

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