The expected retraction method in Banach spaces (Q2906482)

Let \(X\) be a separable Banach space and \((\Omega, {\mathcal A}, \mu)\) be a complete probability space. Let \(Q : \Omega \to 2^X\) be a measurable mapping such that, for each \(\omega \in \Omega\), the set \(Q(\omega)\) is a nonempty, closed and convex subset of \(X\). The stochastic convex feasibility problem (SCFP) is to find a point \(z \in X\) such that \(\mu\{\omega \in \Omega : z \in Q(\omega)\} = 1\). The solution of this problem is discussed by applying the so-called Expected Retraction Method. The definitions and the details are too involved to be quoted here.NEWLINENEWLINEFor the entire collection see [Zbl 1241.00017].