Bibliographic Information

Measures of noncompactness in metric fixed point theory

J.M. Ayerbe Toledano, T. Domínguez Benavides, G. López Acedo

(Operator theory : advances and applications, v. 99)

Birkhäuser, c1997

  • Basel
  • Boston

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Note

Includes bibliographical references (p. [197]-204) and index

Description and Table of Contents

Description

This text contains a survey of some of the most important topological fixed point theorems, including a study of measures of noncompactness. It is self-contained and should be useful to those who need an introduction to metric fixed point theory.

Table of Contents

  • The fixed point theorems of Brouwer and Schauder
  • measures of noncompactness
  • minimal sets for a measure of noncompactness
  • convexity and smoothness
  • near uniform convexity and near uniform smoothness
  • fixed point for nonexpansive mappings and normal structure
  • fixed point theorems in the absence of normal structure
  • uniformly Lipschitzian mappings
  • asymptotically regular mappings
  • packing rates and 0-contractiveness constants.

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