On growth and covering theorems of quasi-convex mappings in the unit ball of a complex banach space
β Scribed by Zhang Wenjun; Liu Taishun
- Book ID
- 111783873
- Publisher
- SP Science China Press
- Year
- 2002
- Tongue
- English
- Weight
- 146 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1674-7283
- DOI
- 10.1360/02ys9165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 Γ 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 !.
In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for quasi-nonexpansive mappings under certain conditions.
Relative openness of quotient maps on the closed unit ball U of a normed linear space X is studied quantitatively. Particularly, it follows from the results that the quotient maps on X associated with the closed linear subspaces of X are equally relatively open on U if and only if X is locally unifo