Common fixtures of several maps on 2-metric spaces

Abdelkrim Aliouche (1) , Carlos Simpson (2)

1 Department of Mathematics
2 JAD - Laboratoire Jean Alexandre Dieudonné

We look for common fixed subsets of several mappings on a 2-metric space, aiming for fixed points or fixed lines. The properties satisfied by the fixtures depend on the form of the triangle contractivity condition which is supposed, so for example in a weaker setting one of the possibilities is a subset of a line with small diameter. This is illustrated by some examples.

Domaines: Géométrie algébrique [math.AG]

Abdelkrim Aliouche, Carlos Simpson. Common fixtures of several maps on 2-metric spaces. Indian Journal of Mathematics, 2014, Special Volume Dedicated to Professor Billy E. Rhoades, 56 (2), pp.229-262. ⟨hal-01292866⟩