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FIXED POINT THEOREMS OF STRICT SET-CONTRACTIONS VIA ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES

 

作者: Han Zhiqing,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1999）
卷期: Volume 22, issue 2  

页码: 171-181

 

ISSN:1607-3606

 

年代: 1999

 

DOI:10.1080/16073606.1999.9632071

 

出版商: Taylor & Francis Group

 

关键词: 47H10;34G20;Strict set-contractions;ordinary differential equations in Banach spaces;fixed point theorems;Leray-Schauder degree;completely continuous operators with gradient forms

 

数据来源: Taylor

 

摘要:

By using ordinary differential equations in Banach spaces, a topological degree for strict set contractions is defined and furthermore some new fixed point theorems are obtained. The degree is then proved to be the well-known Leray-Schauder degree for completely continuous operators and finally it is used to compute the Leray-Schauder degree for completely continuous operators with gradient forms.

 

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