Some results on stability and on characterization of K-convexity of set-valued functions
Volume 58 / 1993
Annales Polonici Mathematici 58 (1993), 185-192
DOI: 10.4064/ap-58-2-185-192
Abstract
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.