  In this article we develop and analyze novel iterative regularization
techniques for the solution of systems of nonlinear ill--posed operator
equations. The basic idea consists in considering separately each equation of
this system and incorporating a loping strategy. The first technique is a
Kaczmarz-type method, equipped with a novel stopping criteria. The second
method is obtained using an embedding strategy, and again a Kaczmarz-type
approach. We prove well-posedness, stability and convergence of both methods.
