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

Teck-Cheong Lim

doi:10.3934/proc.2005.2005.621

Article Contents

2005, Volume 2005: 621-623. Doi: 10.3934/proc.2005.2005.621 open access

This issue Previous Article Variational analysis of energy-enstrophy theories on the sphere Next Article Geometric approach to a singular boundary value problem with turning points

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

Teck-Cheong Lim^1,

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

Received: September 2004

Revised: April 2005

Published: August 2005

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 47H10; Secondary: 06A06.

Citation:

Article Metrics

HTML views() PDF downloads(46) Cited by(0)

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

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

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

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content