In this paper we give some results on single-valuedness of set-valued maps satisfying linear inclusions.
References
F. Deutsch and I. Singer, On single valuedness of convex set-valued maps, Set-Valued Analysis, 1 (1993), 97–103. MR1230373 10.1007/BF01039295 0807.46011F. Deutsch and I. Singer, On single valuedness of convex set-valued maps, Set-Valued Analysis, 1 (1993), 97–103. MR1230373 10.1007/BF01039295 0807.46011
Z. Kominek, On $(a,b)$-convex functions, Arch. Math., 58 (1992), 64–69. MR1139388 10.1007/BF01198644 0754.26005Z. Kominek, On $(a,b)$-convex functions, Arch. Math., 58 (1992), 64–69. MR1139388 10.1007/BF01198644 0754.26005
J. Matkowski and M. Pycia, On $(\alpha ,a)$-convex functions, Arch. Math., 64 (1995), 132–138. MR1312001 10.1007/BF01196632 0813.26004J. Matkowski and M. Pycia, On $(\alpha ,a)$-convex functions, Arch. Math., 64 (1995), 132–138. MR1312001 10.1007/BF01196632 0813.26004
J. Matkowski and W. Ślepak, On $(\alpha ,a)$-convex set-valued functions, Far East J. Math. Sci., 4 (2002), 85–89. MR1899901 1018.54014J. Matkowski and W. Ślepak, On $(\alpha ,a)$-convex set-valued functions, Far East J. Math. Sci., 4 (2002), 85–89. MR1899901 1018.54014
K. Nikodem, F. Papalini and S. Vercillo, Some representations of midconvex set-valued functions, Aequationes Math., 53 (1997), 127–140. MR1436269 10.1007/BF02215969 0872.26008K. Nikodem, F. Papalini and S. Vercillo, Some representations of midconvex set-valued functions, Aequationes Math., 53 (1997), 127–140. MR1436269 10.1007/BF02215969 0872.26008
D. Popa and N. Vornicescu, Locally compact set-valued solutions for the general linear equation, Aequationes Math., 67 (2004), 205–215. MR2162227 10.1007/s00010-003-2699-1 1054.39016D. Popa and N. Vornicescu, Locally compact set-valued solutions for the general linear equation, Aequationes Math., 67 (2004), 205–215. MR2162227 10.1007/s00010-003-2699-1 1054.39016
W. Smajdor, Superadditive set-valued functions and Banach-Steinhaus theorem, Radovi Matematicki, 3 (1987), 203–214. MR931975 0654.39007W. Smajdor, Superadditive set-valued functions and Banach-Steinhaus theorem, Radovi Matematicki, 3 (1987), 203–214. MR931975 0654.39007
A. Száz, G. Száz, Additive relations, Publ. Math. Debrecen, 20 (1973), 259–272. MR340878 0362.08002A. Száz, G. Száz, Additive relations, Publ. Math. Debrecen, 20 (1973), 259–272. MR340878 0362.08002