9 citations · 10 across the 24 of their papers we have counts for
27 papers
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…
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…
Multiplier rules for Dini-derivatives in a topological vector space
Mohammed Bachir, Rongzhen Lyu
We provide new results of first-order necessary conditions of optimality problem in the form of John's theorem and in the form of Karush-Kuhn-Tucker's theorem. We establish our res…
Lagrange Multipliers in locally convex spaces
Mohammed Bachir, Joel Blot
We give a general Lagrange multiplier rule for mathematical programming problems in a Hausdorff locally convex space. We consider infinitely many inequality and equality constraint…
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…
Vector-valued numerical radius and -porosity
Mohammed Bachir
It is well known that under certain conditions on a Banach space , the set of bounded linear operators attaining their numerical radius is a dense subset. We prove in this paper…