3 papers
math.OC2025
Monge-Kantorovich's duality for separable Baire measures in completely regular Hausdorff spaces
Mohammed Bachir
We generalize the classical Monge-Kantorovich duality--typically established for tight (Radon) probability measures--to separable Baire probability measures, which are strictly mor…
math.FA2025
A strong Bishop-Phelps property and a new class of Banach spaces with the property of Lindenstrauss
Mohammed Bachir
We give a class of bounded closed sets in a Banach space satisfying a generalized and stronger form of the Bishop-Phelps property studied by Bourgain in \cite{Bj} for dentable…
math.FA2024
Some new minimax theorems for generalized convexity
Mohammed Bachir
The aim of this article is to establish new two-functions minimax inequalities extending classical results such as Simons' minimax theorem. Our results will be proved in a non-comp…