On Landweber-Kaczmarz methods for regularizing systems of ill-posed equations in Banach spaces
Antonio Leitão | Marques Alves, Maicon
In this article Iterative regularization methods of Landweber-Kaczmarz type are considered for solving systems of ill-posed equations modeled (finitely many) by operators acting between Banach spaces. Using assumptions of uniform convexity and smoothness on the parameter space, we are able to prove a monotony result for the proposed method, as well as to establish convergence (for exact data) and stability results (in the noisy data case). Regularity assumptions on the solution, such as source conditions, are not required in the analysis.