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

Original Articles

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

Published in: Quaestiones Mathematicae
Volume 21 , issue 1-2 , 1998 , pages: 89–99
DOI: 10.1080/16073606.1998.9632028
Author(s): JacekR. Jachymski , Poland
Keywords: 47H10 , 54H25 , 05A15
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Abstract

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.
« WEAK and NORM COMPACTNESS ON KÖTHE-BOCHNER FUNCTION SPACES
THE WALLMAN COMPACTIFICATION AND INTERMEDIATE SPACES »

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