# American Institute of Mathematical Sciences

2005, 2005(Special): 621-623. doi: 10.3934/proc.2005.2005.621

## On the largest common fixed point of a commuting family of isotone maps

 1 Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, VA 22030, United States

Received  September 2004 Revised  April 2005 Published  September 2005

We prove that in a complete partially ordered set with a largest point, every commutative family of isotones has the largest common fixed point. This result for a single mapping was used recently by Ok (2004) to study fixed set theory and its applications in economics.
Citation: Teck-Cheong Lim. On the largest common fixed point of a commuting family of isotone maps. Conference Publications, 2005, 2005 (Special) : 621-623. doi: 10.3934/proc.2005.2005.621
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