Autocontinuity and convergence theorems for the Choquet integral
We provide convergence theorems for the Choquet integral for various notions of convergence. Monotone almost uniform convergence from above/below is associated to monotone autocontinuity from above/below. The dominated almost uniform convergence is associated to monotone autocontinuity. Autocontinuity can be associated to the dominated convergence in measure, in mean or in strict-measure. (C) 2011 Elsevier B.V. All rights reserved.
autocontinuity choquet integral non-additive measure null-additivity