Form equivalence class Howard-Rubin Number: 1
Statement:
Let \({\cal F}\) be a family of mappings of a poset \((X,\le )\) into itself such that \(\forall f\in{\cal F}\), \(\forall x\in X\),\(f(x)\le x\). If for some element \(e\) of \(X\) each chain in \(X\) containing \(e\) has a lower bound, then the family \({\cal F}\) has a common fixed point.
Howard-Rubin number: 1 AJ
Citations (articles):
Kasahara [1976]
Remarks on some fixed point theorems
Connections (notes):
References (books):
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