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Journal of Mathematical Sciences

, Volume 196, Issue 5, pp 652–664 | Cite as

Diagonals of separately pointwise Lipschitz mappings

  • Volodymyr V. Mykhaylyuk
  • Oleksandr V. Sobchuk
Article
  • 33 Downloads

Abstract

It is proved that, for a metric space X and a normed space Z, the diagonals of pointwise Lipschitz mappings f : X 2→ Z are exactly stable pointwise limits of pointwise Lipschitz mappings. The joint Lipschitz property of separately pointwise Lipschitz mappings f : X × Y → Z, where X, Y, and Z are metric spaces, is investigated.

Keywords

Diagonals of mappings Lipschitz mappings pointwise Lipschitz mappings σ-Lipschitz mappings stable limits 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Volodymyr V. Mykhaylyuk
    • 1
  • Oleksandr V. Sobchuk
    • 1
  1. 1.Chernivtsi National UniversityChernivtsiUkraine

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