Measures of noncompactness in metric fixed point theory
著者
書誌事項
Measures of noncompactness in metric fixed point theory
（Operator theory : advances and applications, v. 99）
Birkhäuser, c1997
- Basel
- Boston
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注記
Includes bibliographical references (p. [197]-204) and index
内容説明・目次
内容説明
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.
目次
- 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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