Hyperconvexity of ℝ-trees

• Autorzy: W. A. Kirk
• Języki publikacji: EN

Abstrakty

EN

It is shown that for a metric space (M,d) the following are equivalent: (i) M is a complete ℝ-tree; (ii) M is hyperconvex and has unique metric segments.

Słowa kluczowe

EN

hyperconvex metric space; ℝ-tree; fixed point; nonexpansive mapping

Kategorie tematyczne

• 05C12: Distance in graphs
• 54H25: Fixed-point and coincidence theorems
• 54H10: Topological representations of algebraic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 156
• Numer: 1
• Strony: 67-72

Daty

wydano

1998

otrzymano

1997-01-16

poprawiono

1997-10-14

Twórcy

autor

W. A. Kirk

• Department of Mathematics, University of Iowa, Iowa City, Iowa 52242-1419, U.S.A.

Bibliografia

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