most citedA fixed point theorem for commuting families of relational homomorphisms. Application to metric spaces, oriented graphs and ordered sets

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math.FA2018★ 2 cited

A fixed point theorem for commuting families of relational homomorphisms. Application to metric spaces, oriented graphs and ordered sets

Amine Khamsi, Maurice Pouzet

We extend to binary relational systems the notion of compact and normal structure, introduced by J.P.Penot for metric spaces, and we prove that for the involutive and reflexive one…