2 papers
math.CT2015
Approximate categorical structures
Abdelkrim Aliouche, Carlos Simpson
We consider notions of metrized categories, and then approximate categorical structures defined by a function of three variables generalizing the notion of -metric space. We pro…
math.MG2010
Fixed points and lines in 2-metric spaces
Abdelkrim Aliouche, Carlos T. Simpson
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.