The stochastic proximal point method converges weakly almost surely to a minimizer in Hadamard spaces under a mild growth condition on the convex integral function.
Baˇ c´ ak.Convex analysis and optimization in Hadamard spaces, volume 22 ofDe Gruyter Series in Nonlinear Analysis and Applications
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Weak convergence of the stochastic proximal point method in metric spaces
The stochastic proximal point method converges weakly almost surely to a minimizer in Hadamard spaces under a mild growth condition on the convex integral function.