Generalized CAT(0) spaces

M. A. Khamsi; S. A. Shukri

doi:10.36045/bbms/1506477690

Generalized CAT(0) spaces

M. A. Khamsi, S. A. Shukri

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

21 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 ℓ_p, for p < 2.

Original language	English
Pages (from-to)	417-426
Number of pages	10
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	24
Issue number	3
DOIs	https://doi.org/10.36045/bbms/1506477690
State	Published - Sep 2017

Bibliographical note

Publisher Copyright:
© 2017 Belgian Mathematical Society.

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.36045/bbms/1506477690

Cite this

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title = "Generalized CAT(0) spaces",

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.",

keywords = "CAT(0) spaces, Fixed point, Hyperbolic metric spaces, Uniformly convex, Uniformly lipschitzian mapping",

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AU - Shukri, S. A.

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AB - 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.

KW - CAT(0) spaces

KW - Fixed point

KW - Hyperbolic metric spaces

KW - Uniformly convex

KW - Uniformly lipschitzian mapping

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M3 - Article

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ER -

Generalized CAT(0) spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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