1 citations · 1 across the 7 of their papers we have counts for
9 papers
Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem
Nazaret Bruno, Mohammed Bachir, Bruno Nazaret
Schweizer, Sklar and Thorp proved in 1960 that a Menger space under a continuous -norm , induce a natural topology wich is metrizable. We extend this result to…
Probabilistic Arzela-Ascoli theorem
Mohammed Bachir, Nazaret Bruno
We prove that, in the space of all probabilistic continuous functions from a probabilistic metric space G to the set + of all cumulative distribution functions vanishing at 0,…
The space of probabilistic 1-lipschitz maps
Mohammed Bachir
We introduce and study a natural notion of probabilistic 1-Lipschitz maps. We prove that the space of all probabilistic 1-Lipschitz maps defined on a probabilistic metric space G i…
A convex extension of lower semicontinuous functions defined on normal Hausdorff space
Mohammed Bachir
We prove that, any problem of minimization of proper lower semicontinuous function defined on a normal Hausdorff space, is canonically equivalent to a problem of minimization of a…
Discrete time pontryagin principles in banach spaces
Mohammed Bachir, Joël Blot
The aim of this paper is to establish Pontryagin's principles in a dicrete-time infinite-horizon setting when the state variables and the control variables belong to infinite dimen…
On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets
Mohammed Bachir
The Krein-Milman theorem (1940) states that every convex compact subset of a Hausdorfflocally convex topological space, is the closed convex hull of its extreme points. In 1963, Ky…