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Stability of the Fixed Point Property for Nonexpansive Mappings

In: Handbook of Metric Fixed Point Theory

Author

Listed:
  • Jesús Garcia-Falset

    (Universitat de Valencia, Department d’Anàlisi Matematica Facultat de Matematiques)

  • Antonio Jiménez-Melado

    (Universitat de Malaga, Department de Matematiques)

  • Enrique Llorens-Fuster

    (Universitat de Valencia, Department d’Anàlisi Matematica Facultat de Matematiques)

Abstract

In 1971 Zidler [Zi 71] showed that every separable Banach space (X, ‖·‖) admits an equivalent renorming, (X, ‖·‖0), which is uniformly convex in every direction (UCED), and consequently it has weak normal structure and so the weak fixed point property (WFPP) [D-J-S 71].

Suggested Citation

  • Jesús Garcia-Falset & Antonio Jiménez-Melado & Enrique Llorens-Fuster, 2001. "Stability of the Fixed Point Property for Nonexpansive Mappings," Springer Books, in: William A. Kirk & Brailey Sims (ed.), Handbook of Metric Fixed Point Theory, chapter 0, pages 201-238, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-1748-9_7
    DOI: 10.1007/978-94-017-1748-9_7
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