Some Moduli and Constants Related to Metric Fixed Point Theory

Enrique Llorens Fuster ()
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Enrique Llorens Fuster: Universitat de Valencia, Department d’Anàlisi Matematica Facultat de Matematiques

Chapter Chapter 5 in Handbook of Metric Fixed Point Theory, 2001, pp 133-175 from Springer

Abstract: 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.

Keywords: Banach Space; Nonexpansive Mapping; Normal Structure; Reflexive Banach Space; Uniformly Convex (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-017-1748-9_5

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