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 set-valued functions and in spaces of vector valued functions. Some classical results are exposed in order to give a more complete treatment of the subject. New contributions are concerned both with the general theory than in particular with the so-called convexity monotone operators, which are considered in cones of set-valued function and also in spaces of vector-valued functions.

Keywords

• Korovkin approximation
• approximation of vector-valued functions
• approximation of set-valued functions

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