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On quasi-convex mappings of orderαin the unit ball of a complex Banach space

✍ Scribed by Taishun Liu; Qinghua Xu

Book ID
107347491
Publisher
SP Science China Press
Year
2006
Tongue
English
Weight
176 KB
Volume
49
Category
Article
ISSN
1674-7283

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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 !.