arXiv subjects

Abdelkrim Aliouche

Publications and source records attributed to Abdelkrim Aliouche.

2 recordsLinked to original sources

arXiv2015

Approximate categorical structures

We consider notions of metrized categories, and then approximate categorical structures defined by a function of three variables generalizing the notion of $2$-metric space. We prove an embedding theorem giving sufficient conditions for an approximate categorical structure to come from an inclusion into a metrized category.

math.CT↗

arXiv2011

Fixed points and lines in 2-metric spaces

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.

math.MG↗