Fixed Points of Holomorphic Mappings: A Metric Approach

Tadeusz Kuczumow (), Simeon Reich () and David Shoikhet ()
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Tadeusz Kuczumow: Maria Curie-Skłodowska University
Simeon Reich: The Technion-Israel Institute of Technology, Department of Mathematics
David Shoikhet: ORT Braude College, Department of Applied Mathematics

Chapter Chapter 14 in Handbook of Metric Fixed Point Theory, 2001, pp 437-515 from Springer

Abstract: Abstract Let X 1 and X 2 be two complex normed linear spaces and let D 1 be a domain (that is, a nonempty open connected subset) in X 1. A mapping f : D 1 → X 2 is said to be holomorphic in D 1 if it is Fréchet differentiable at each point of D 1. If D 1 and D 2 are domains in X 1 and X 2, respectively, then H(D 1, D 2) will denote the family of all holomorphic mappings from D 1 into D 2.

Keywords: Banach Space; Nonexpansive Mapping; Common Fixed Point; Convex Banach Space; Reflexive Banach Space (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-1748-9_14

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DOI: 10.1007/978-94-017-1748-9_14

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