Fixed points and lines in 2-metric spaces

Abdelkrim Aliouche (1) , Carlos Simpson (2)

1 Department of Mathematics
2 JAD - Laboratoire Jean Alexandre Dieudonné

We consider bounded 2-metric spaces satisfying an additional axiom, and show that a contractive mapping has either a fixed point or a fixed line.

Mots clés: 2-metric space; D-metric; Fixed point

Domaines: Géométrie métrique [math.MG]

Abdelkrim Aliouche, Carlos Simpson. Fixed points and lines in 2-metric spaces. 2010. ⟨hal-00467238v2⟩