5 citations · 11 across the 5 of their papers we have counts for
4 papers · 1 filter
Old and new challenges in Hadamard spaces
Miroslav Bacak
Hadamard spaces have traditionally played important roles in geometry and geometric group theory. More recently, they have additionally turned out to be a suitable framework for co…
On proximal mappings with Young functions in uniformly convex Banach spaces
Miroslav Bacak, Ulrich Kohlenbach
It is well known in convex analysis that proximal mappings on Hilbert spaces are -Lipschitz. In the present paper we show that proximal mappings on uniformly convex Banach space…
Convergence of nonlinear semigroups under nonpositive curvature
Miroslav Bacak
The present paper is devoted to semigroups of nonexpansive mappings on metric spaces of nonpositive curvature. We show that the Mosco convergence of a sequence of convex lsc functi…
Mazur intersection property for Asplund spaces
Miroslav Bacak, Petr Hajek
The main result of the present note states that it is consistent with the ZFC axioms of set theory (relying on Martin's Maximum MM axiom), that every Asplund space of density chara…