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Einschliessungssätze für Fixpunkte

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Numerical Solution of Nonlinear Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 878))

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Abstract

It is shown in this survey that in certain cases it is possible to give inclusion theorems for fixed points if monotonicity principles are applicable. A simple example of a nonlinear integral equation occuring in aerodynamics illustrates in detail how easy it is to apply the monotonicity methods by using the algorithms of approximation and optimization.

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Literatur

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Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, der Universität Hamburg, Bundesstraße 55, 2000, Hamburg 13

    Prof. Dr. L. Collatz

Authors
  1. Prof. Dr. L. Collatz
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Editor information

Eugene L. Allgower Klaus Glashoff Heinz-Otto Peitgen

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© 1981 Springer-Verlag

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Collatz, L. (1981). Einschliessungssätze für Fixpunkte. In: Allgower, E.L., Glashoff, K., Peitgen, HO. (eds) Numerical Solution of Nonlinear Equations. Lecture Notes in Mathematics, vol 878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090678

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  • DOI: https://doi.org/10.1007/BFb0090678

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10871-9

  • Online ISBN: 978-3-540-38781-7

  • eBook Packages: Springer Book Archive

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