Abstract
There are many examples in Numerical Analysis where convergence of approximate solutions to a solution of the original problem can not be shown in the sense of a norm topology but in the sense of weak convergence ([6], [9], [10]). Moreover, (global) solutions are often not unique such that a concept of set convergence instead of convergence in the usual sense is more convenient and reasonable ([1], [2]). This particularly holds if weakly formulated problems are under consideration. When dealing with problems where both situations coincide, a concept of weak set convergence seems to be adequate. Such a concept is developed and will be applied to certain projections methods.
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