On $m$-convexity of set-valued functions

Document Type: Original Article

Authors

1 University of los Andes, Venezuela

2 Universidad Central de Venezuela, Venezuela

3 University of Iowa, USA

4 Universidad de Los Andes, Venezuela.

Abstract

‎‎We introduce the notion of an $m$-convex set-valued‎ ‎function and study some properties of this class of functions‎. ‎Several characterizations are given as well as certain algebraic‎ ‎properties and examples‎. ‎Finally‎, ‎an inclusion of Jensen type is‎ ‎presented jointly with a sandwich type theorem‎.

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