Peer Reviewed Journal via three different mandatory reviewing processes, since 2006, and, from September 2020, a fourth mandatory peer-editing has been added.
The Cimmino algorithm is an iterative projection
method for finding almost common points of measur-
able families of closed convex sets in a Hilbert space. It
produces weak approximations of solutions for Fred-
holm equations of the first kind provided that solu-
tions exist. We obtain an existence criterion for so-
lutions of a linear moment of problem considered as
Fredholm equation of the first kind and show that if
this problems has a solution, then the Cimmino algo-
rithm generate norm approximations of such solutions.