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PDF-catedstructure,Lcannotbeestimatedeasilyoritmightbeverylargesuchthatthe PDF document

2XkykYhyyi1 2YWewillmakefrequentuseofthesocalledresolventorproximityoperatorofafunctionGxGivenapointx2XitisdenedasthesolutionoftheauxiliaryminimizationproblemxargminxGx1 2kxxk2XTheu

2X;kykY=hy;yi1 2Y:Wewillmakefrequentuseoftheso-calledresolventorproximityoperatorofafunctionG(x).Givenapoint^x2X itisdenedasthesolutionoftheauxiliarymin-imizationproblemx=argminxG(x)+1 2kx^xk2XTheu

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