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A generalization of monotone operators: Usco maps

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1364)

Abstract

There has been much relatively recent work showing that Kenderov’s results about generic continuity of maximal monotone operators are special cases of theorems of a more topological nature. We will describe some of this, selecting the results most closely related to our primary interest in Banach spaces.

Keywords

  • Banach Space
  • Open Neighborhood
  • Monotone Operator
  • Maximal Monotone
  • Hausdorff Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1989 Springer-Verlag Berlin Heidelberg

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Phelps, R.R. (1989). A generalization of monotone operators: Usco maps. In: Convex Functions, Monotone Operators and Differentiability. Lecture Notes in Mathematics, vol 1364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21569-2_7

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  • DOI: https://doi.org/10.1007/978-3-662-21569-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50735-2

  • Online ISBN: 978-3-662-21569-2

  • eBook Packages: Springer Book Archive