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

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

Download BibTeXPublished by Heldermann Verlag.

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