Finding common fixed points of a class of paracontractions

For a suitable set of not necessarily linear operators on a real Hilbert space, such that the set of common fixed points of the operators is nonempty and has an interior point, we construct an asynchronous parallel algorithm that leads to a common fixed point in a finite number of steps. This generalizes a result in [13]. This revised version was published online in June 2006 with corrections to the Cover Date.