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SOME CONSEQUENCES OF THE TARSKI-KANTOROVITCH ORDERING THEOREM IN METRIC FIXED POINT THEORY

 

作者: JacekR. Jachymski,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1998）
卷期: Volume 21, issue 1-2  

页码: 89-99

 

ISSN:1607-3606

 

年代: 1998

 

DOI:10.1080/16073606.1998.9632028

 

出版商: Taylor & Francis Group

 

关键词: 47H10;54H25;05A15

 

数据来源: Taylor

 

摘要:

We show that the Tarski-Kantorovitch Principle for continuous maps on a partially ordered set yields some fixed point theorems for contractive maps on a uniform space. Our proofs do not depend on the Axiom of Choice.

 

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