On the Korovkin-type approximation of set-valued continuous functions

Abstract

This paper is devoted to some Korovkin approximation results in cones of Hausdorff continuous setvalued functions and in spaces of vector-valued functions. Some classical results are exposed in order to give a morecomplete treatment of the subject. New contributions are concerned both with the general theory than in particularwith the so-called convexity monotone operators, which are considered in cones of set-valued function and also inspaces of vector-valued functions.