, Volume 33, Issue 2, pp 215-218

A short and constructive proof of Tarski’s fixed-point theorem

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Abstract

I give short and constructive proofs of Tarski’s fixed-point theorem, and of Zhou’s extension of Tarski’s fixed-point theorem to set-valued maps.

I thank Charles Blair, William Thomson, an associated editor and a referee for their helpful suggestions.
I have taught Tarski’s Theorem with F continuous to Caltech undergraduates.