Abstract

We give a counterexample to a recent statement in the metric approximation theory and provide a setting where the statement holds.

Author information

Contact details are reproduced from the original publication and may be historical.

Antonio J. Guirao

Instituto de Matemática Pura y Aplicada, Universidad Politécnica, C/Vera s/n, 46022 Valencia, Spain

anguisa2@mat.upv.es

Vicente Montesinos

Instituto de Matemática Pura y Aplicada, Universidad Politécnica, C/Vera s/n, 46022 Valencia, Spain

vmontesinos@mat.upv.es

Keywords

  • Metric projection
  • approximative compactness
  • midpoint locally uniform rotundity
  • locally uniform rotundity
  • C-sets
  • proximinal sets

References

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Suggested citation

A. J. Guirao, V. Montesinos. “A Note in Approximative Compactness and Continuity of Metric Projections in Banach Spaces.” Journal of Convex Analysis 18 (2011), No. 2, 397–401. https://doi.org/10.68381/jca18023

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Published by Heldermann Verlag, 2011. Rights now held by Banach Press LLC.