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Limit Theorems of Operators by Convex Combinations of Nonexpansive Retractions in Banach Spaces

✍ Scribed by Wataru Takahashi; Takayuki Tamura


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
232 KB
Volume
91
Category
Article
ISSN
0021-9045

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Let X be a complex strictly convex Banach space with an open unit ball B. For each compact, holomorphic and fixed-point-free mapping f: B Ä B there exists ! # B such that the sequence [ f n ] of iterates of f converges locally uniformly on B to the constant map taking the value !.