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Some Moduli and Constants Related to Metric Fixed Point Theory

In: Handbook of Metric Fixed Point Theory

Author

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  • Enrique Llorens Fuster

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

Abstract

Indeed, there are a lot of quantitative descriptions of geometrical properties of Banach spaces. The most common way for creating these descriptions, is to define a real function (a “modulus” depending on the Banach space under consideration, and from this define a suitable constant or coefficient closely related to this function. The moduli and/or the constants are attempts to get a better understanding about two things: The shape of the unit ball of a space, and The hidden relations between weak and strong convergence of sequences.

Suggested Citation

  • Enrique Llorens Fuster, 2001. "Some Moduli and Constants Related to Metric Fixed Point Theory," Springer Books, in: William A. Kirk & Brailey Sims (ed.), Handbook of Metric Fixed Point Theory, chapter 0, pages 133-175, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-1748-9_5
    DOI: 10.1007/978-94-017-1748-9_5
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