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Weak convergence of positive contractions implies strong convergence of averages

โœ Scribed by M. A. Akcoglu; L. Sucheston


Book ID
104793699
Publisher
Springer
Year
1975
Tongue
English
Weight
310 KB
Volume
32
Category
Article
ISSN
1432-2064

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Let T be a Lipschitzian pseudocontractive self-mapping of a closed convex and bounded subset K of a Banach space E which is both uniformly convex and ลฝ . q-uniformly smooth such that the set F T of fixed points of T is nonempty. Then ลฝ . F T is a sunny nonexpansive retract of K. If U is the sunny no