2014/84/1-2 (16) — DOI: 10.5486/PMD.2014.5904 — pp. 229-252
Full Text Abstract

Bernstein—Doetsch type theorems for set-valued maps of strongly and approximately convex and concave type

Authors: Carlos González, Kazimierz Nikodem, Zsolt Páles and Gari Roa

Keywords: K-Jensen convexity/concavity, set-valued map, Takagi transformation, approximate convexity, strong convexity

Mathematics Subject Classification: 26B25, 54C60, 39B62, 26E25, 47H04