Consistency of Landweber algorithm in an ill-posed problem with random data

Consistency of the Tikhonov’s regularization in an ill-posed problem with random data

“…(1) and x e the unique element of E such that Ax e = u e . In practice, the available data are not known precisely, and we have only its approximation (Bissantz et al, 2004(Bissantz et al, , 2007Cardot, 2002;Dahmani and Bouhmila, 2006;Kaipio and Somersalo, 2005;Tarantola, 2005).…”