An MM Algorithm for the Split-Feasibility Problem

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  In the split feasibility problem,one is given a smooth function h(x): Rp→ Rq and two closed convex sets C(C)Rp and Q(C)Rq.One is then asked to find a point x∈Rp simultaneously satisfying x ∈ C and h(x)∈ Q.The multi-set version of the problem represents C = ∩iCi and Q = ∩jQj and intersections of closed convex sets Ci and Qj.A variety of algorithms have been proposed for solving the linear split feasibility problem,namely when h is a linear function.
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