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math.FA2018
Extension Of The Bauer's Maximum Principle For Compact Metrizable Sets
Mohammed Bachir
Let X be a nonempty convex compact subset of some Haus-dorff locally convex topological vector space S. The well know Bauer's maximum principle stats that every convex upper semi-c…
math.FA2018
GÂteaux-Differentiability of Convex Functions in Infinite Dimension
Mohammed Bachir, Adrien Fabre
It is well known that in , G{â}teaux (hence Fr{é}chet) differ-entiability of a convex continuous function at some point is equivalent to the existence of the partial derivati…
math.FA2018
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…