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Hyperbolic monotonicity in the Hilbert ball

Fixed Point Theory and Applications volume 2006, Article number: 78104 (2006) Cite this article

Abstract

We first characterize -monotone mappings on the Hilbert ball by using their resolvents and then study the asymptotic behavior of compositions and convex combinations of these resolvents.

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Authors and Affiliations

  1. Institute of Mathematics, Czech Academy of Sciences, Žitná 25, Prague, 11567, Czech Republic

    Eva Kopecká

  2. Institut für Analysis, Johannes Kepler Universität, Linz, 4040, Austria

    Eva Kopecká

  3. Department of Mathematics, The Technion – Israel Institute of Technology, Haifa, 32000, Israel

    Simeon Reich

Authors
  1. Eva Kopecká
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  2. Simeon Reich
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Correspondence to Simeon Reich.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kopecká, E., Reich, S. Hyperbolic monotonicity in the Hilbert ball. Fixed Point Theory Appl 2006, 78104 (2006). https://doi.org/10.1155/FPTA/2006/78104

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