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Fixed Points of Holomorphic Mappings: A Metric Approach

  • Chapter
Handbook of Metric Fixed Point Theory

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.

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Author information

Authors and Affiliations

  1. Maria Curie-Skłodowska University, 20-031, Lublin, Poland

    Tadeusz Kuczumow

  2. Department of Mathematics, The Technion-Israel Institute of Technology, 32000, Haifa, Israel

    Simeon Reich

  3. Department of Applied Mathematics, ORT Braude College, 21982, Karmiel, Israel

    David Shoikhet

Authors
  1. Tadeusz Kuczumow
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  2. Simeon Reich
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  3. David Shoikhet
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Editor information

Editors and Affiliations

  1. Department of Mathematics, The University of Iowa, Iowa City, IA, USA

    William A. Kirk

  2. School of Mathematical and Physical Sciences, The University of Newcastle, Newcastle, Australia

    Brailey Sims

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Kuczumow, T., Reich, S., Shoikhet, D. (2001). Fixed Points of Holomorphic Mappings: A Metric Approach. In: Kirk, W.A., Sims, B. (eds) Handbook of Metric Fixed Point Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1748-9_14

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