Geodesic
Some results on stability and on characterization of K-convexity of set-valued functions
Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 185-192

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.
DOI : 10.4064/ap-58-2-185-192
Keywords: set-valued functions, K-convex (K-midconvex, K-quasiconvex) set-valued functions, Ulam-Hyers stability

Tiziana Cardinali 1 ; Francesca Papalini 1

1 
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Tiziana Cardinali; Francesca Papalini. Some results on stability and on characterization of K-convexity of set-valued functions. Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 185-192. doi: 10.4064/ap-58-2-185-192

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