Manifold-valued generalized functions in full Colombeau spaces
  We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions. 
Michael Kunzinger, Eduard Nigsch
math.FA