The Hahn-Banach theorem and a class of non-locally convex spaces
β Scribed by Leon Brown
- Publisher
- Springer
- Year
- 1968
- Tongue
- English
- Weight
- 198 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0025-5831
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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 this paper, we study a class of nonlinear operator equations with more extensive conditions in ordered Banach spaces. By using the cone theory and Banach contraction mapping principle, the existence and uniqueness of solutions for such equations are investigated without demanding the existence of