Geodesic
Approximation of continuous convex-cone-valued functions by monotone operators
Studia Mathematica, Tome 102 (1992) no. 2, pp. 175-192

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DOI

In this paper we study the approximation of continuous functions F, defined on a compact Hausdorff space S, whose values F(t), for each t in S, are convex subsets of a normed space E. Both quantitative estimates (in the Hausdorff semimetric) and Bohman-Korovkin type approximation theorems for sequences of monotone operators are obtained. 
João B. Prolla. Approximation of continuous convex-cone-valued functions by monotone operators. Studia Mathematica, Tome 102 (1992) no. 2, pp. 175-192. doi: 10.4064/sm-102-2-175-192
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