CAT(0) Spaces

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 9 in Fixed Point Theory in Distance Spaces, 2014, pp 65-94 from Springer

Abstract: Abstract A substantial part of the discussion in this chapter is taken from two survey articles [118, 119]. These articles motivated a substantial resurgence of the study of metric fixed point theory in spaces of non-positive curvature. The study of spaces of non-positive curvature originated with the discovery of hyperbolic spaces, the work of J. Hadamard at the beginning of the last century, and the work of E. Cartan in the 1920s.

Keywords: Approximate Fixed Point Property; Asymptotic Center; Asymptotic Radius; Called Hadamard Spaces; Space Ultrapower (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10927-5_9

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DOI: 10.1007/978-3-319-10927-5_9

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