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An Ergodic Theorem for Asymptotically Nonexpansive Mappings in the Intermediate Sense

✍ Scribed by Hirokazu Oka

Book ID
118015510
Publisher
American Mathematical Society
Year
1997
Tongue
English
Weight
285 KB
Volume
125
Category
Article
ISSN
0002-9939

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Let \(X\) be a uniformly convex Banach space such that its dual \(X^{*}\) has the KadecKlee property, \(C\) a bounded closed convex subset of \(X\), and \(T: C \rightarrow C\) a mapping which is asymptotically nonexpansive in the intermediate sense. We prove that every almost orbit of \(T\) is weakl