Titlebook: Measures of Noncompactness in Metric Fixed Point Theory; J. M. Ayerbe Toledano,T. Domínguez Benavides,G. Ló Book 1997 Springer Basel AG 19

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Convexity and Smoothness, those which are invariant under isometries, in contrast to topological properties which are invariant with respect to homeomorphisms. Schauder’s fixed point theorem for continuous mappings is the most celebrated topological fixed point theorem.

interference

細菌等

lavish

Minimal Sets for a Measure of Noncompactness,The notion of a ?-minimal set for an MNC ? was introduced in [Do1] in order to study the relationships between condensing mappings for Kuratowski and Haus-dorff’s measures of noncompactness (see Chapter X).

警告

Nearly Uniform Convexity and Nearly Uniform Smoothness,Reflexivity and the uniform Kadec-Klee property are among the most important properties of .-uniformly convex spaces. The study of spaces satisfying both properties was initiated by Huff in 1980 [Hu] who called these spaces nearly uniformly convex.

豎琴

Uniformly Lipschitzian Mappings,Assume that . is a metric space and . : . → . is nonexpansive. Clearly . and all iterate mappings . are Lipschitzian with constant . = 1.

follicular-unit

無能力

978-3-0348-9827-0Springer Basel AG 1997

Dealing

Measures of Noncompactness in Metric Fixed Point Theory978-3-0348-8920-9Series ISSN 0255-0156 Series E-ISSN 2296-4878

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Operator Theory: Advances and Applicationshttp://image.papertrans.cn/m/image/628159.jpg