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CAT(0) Spaces

In: Fixed Point Theory in Distance Spaces

Author

Listed:
  • William Kirk

    (University of Iowa, Department of Mathematics)

  • Naseer Shahzad

    (King Abdulaziz University, Department of Mathematics)

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.

Suggested Citation

  • William Kirk & Naseer Shahzad, 2014. "CAT(0) Spaces," Springer Books, in: Fixed Point Theory in Distance Spaces, edition 127, chapter 0, pages 65-94, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-10927-5_9
    DOI: 10.1007/978-3-319-10927-5_9
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