3 citations · 4 across the 3 of their papers we have counts for
4 papers
A variational approach to stochastic minimization of convex functionals
Miroslav Bacak
Stochastic methods for minimizing a convex integral functional, as initiated by Robbins and Monro in the early 1950s, rely on the evaluation of a gradient (or subgradient if the fu…
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…
The proximal point algorithm in metric spaces
Miroslav Bacak
The proximal point algorithm, which is a well-known tool for finding minima of convex functions, is generalized from the classical Hilbert space framework into a nonlinear setting,…
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…