Integration on Hyperspaces

in this paper first we present elements of a theory of integration of a quasi-uniform conoid valued functions with respect to a positive measure following the doctoral thesis of the first author "integration on uniform type conoids". then we show that it is possible to apply this theory for integration of functions with values in the hyperspace of non-empty convex subsets of a given quasi-uniform conoid. to realize such a possibility we treat the considered hyperspace as a quasi-uniform conoid in a rather natural way (as this is done in our joint work "uniform type hyperspaces").