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    Optimality Conditions and Moreau-Yosida Regularization for Almost Sure State Constraints
    (Paris : EDP Sciences, 2022) Geiersbach, Caroline; Hintermüller, Michael
    We analyze a potentially risk-averse convex stochastic optimization problem, where the control is deterministic and the state is a Banach-valued essentially bounded random variable. We obtain strong forms of necessary and sufficient optimality conditions for problems subject to equality and conical constraints. We propose a Moreau-Yosida regularization for the conical constraint and show consistency of the optimality conditions for the regularized problem as the regularization parameter is taken to infinity.