ℝ $$\mathbb{R}$$ -Trees (Metric Trees)

William Kirk and Naseer Shahzad
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William Kirk: University of Iowa, Department of Mathematics
Naseer Shahzad: King Abdulaziz University, Department of Mathematics

Chapter Chapter 11 in Fixed Point Theory in Distance Spaces, 2014, pp 99-110 from Springer

Abstract: Abstract ℝ $$\mathbb{R}$$ -trees R-tree (metric tree) are a very special class of CAT 0 $$\left (0\right )$$ spaces. There are many equivalent definitions of ℝ $$\mathbb{R}$$ -trees. Here are two of them.

Keywords: Nonexpansive Mapping; Point Property; Nonempty Compact Convex Subset; Helly Property; Nonexpansive Retract (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-10927-5_11

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