Uniform convexity, normal structure and the fixed point property of metric spaces

    研究成果: Article

    1 被引用数 (Scopus)

    抄録

    We say that a complete metric space X has the fixed point property if every group of isometric automorphisms of X with a bounded orbit has a fixed point in X. We prove that if X is uniformly convex then the family of admissible subsets of X possesses uniformly normal structure and if so then it has the fixed point property. We also show that from other weaker assumptions than uniform convexity, the fixed point property follows. Our formulation of uniform convexity and its generalization can be applied not only to geodesic metric spaces.

    本文言語English
    ジャーナルTopology and its Applications
    DOI
    出版ステータスAccepted/In press - 2014 1 31

    ASJC Scopus subject areas

    • Geometry and Topology

    フィンガープリント 「Uniform convexity, normal structure and the fixed point property of metric spaces」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

    引用スタイル