Generalized CAT(0) spaces

M. A. Khamsi, S. A. Shukri

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We extend the Gromov geometric definition of CAT(0) spaces to the case where the comparison triangles are not in the Euclidean plane but belong to a general Banach space. In particular, we study the case where the Banach space is ℓp, for p < 2.

Original languageBritish English
Pages (from-to)417-426
Number of pages10
JournalBulletin of the Belgian Mathematical Society - Simon Stevin
Volume24
Issue number3
DOIs
StatePublished - Sep 2017

Keywords

  • CAT(0) spaces
  • Fixed point
  • Hyperbolic metric spaces
  • Uniformly convex
  • Uniformly lipschitzian mapping

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