INTERSECTIONS OF HOLOMORPHIC RETRACTS IN BANACH SPACES
DOI10.1017/S1446788710001564zbMath1233.47048OpenAlexW2057703054MaRDI QIDQ3008158
Budzyńska, Monika, Simeon Reich
Publication date: 14 June 2011
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788710001564
fixed pointKobayashi distanceholomorphic mappingholomorphic retractcomplex geodesickD-nonexpansive mappingkD-nonexpansive retract
Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Holomorphic functions of several complex variables (32A10)
Related Items (1)
Cites Work
- Iterates of holomorphic and \(k_ D\)-nonexpansive mappings in convex domains in \({\mathbb{C}}^ n\)
- Points fixes d'une application holomorphe d'un domaine borné dans lui- même. (Fixed points of a holomorphic mapping of a bounded domain into itself)
- Parabolic exhaustions for strictly convex domains
- The Kobayashi infinitesimal metric and the characterization of bounded convex domains
- A few properties of the Kobayashi distance and their applications
- Holomorphic retracts and intrinsic metrics in convex domains
- Nonexpansive retracts of Banach spaces
- Attracting mappings in Banach and hyperbolic spaces
- Strict convexity of bounded domains and unicity of complex geodesics
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