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Approximating fixed-points of decreasing operators in spaces of continuous functions*

 

作者: Alvise Sommariva,   Marco Vianello,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 5-6  

页码: 635-646

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816850

 

出版商: Marcel Dekker, Inc.

 

关键词: fixed-point equations;spaces of continuousfunctions;decreasing operators;noncompact operators;monotonedemicont,inuity;monotone approximations;Chandrasekliar H- equation,(perturbed) Hammerstein integral equations.;45GXX;47H07;47H10;65J15

 

数据来源: Taylor

 

摘要:

We prove constructively existence and uniqueness of a conlinuous fixed-point for a class of decreasing and pointwise nzonotonically continuous (nonlinear) operators in spaces of (vector-valued) functions, without resorting to conzplete continuity. As an application, we rediscuss and improve recent results for a class of perturbed nonlinear integral equations.

 

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