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Another proof of the Browder–Göhde–Kirk theorem via ordering argument

Published online by Cambridge University Press:  17 April 2009

Jacek Jachymski
Jacek Jachymski
Affiliation:
Institute of Mathematics, Technical University of Lódź, Żwirki 36, 90–924 Lódź, Poland e-mail: jachym@ck-sg.p.lodz.pl
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Abstract

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Using the Zermelo Principle, we establish a common fixed point theorem for two progressive mappings on a partially ordered set. This result yields the Browder–Göhde–Kirk fixed point theorem for nonexpansive mappings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 105 - 107
Copyright
Copyright © Australian Mathematical Society 2002

References

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