### On $m$-convexity of set-valued functions

#### 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.

#### Article information

Source
Adv. Oper. Theory, Volume 4, Number 4 (2019), 767-783.

Dates
Accepted: 4 March 2019
First available in Project Euclid: 15 May 2019

https://projecteuclid.org/euclid.aot/1557885625

Digital Object Identifier
doi:10.15352/aot.1810-1429

Mathematical Reviews number (MathSciNet)
MR3949974

Zentralblatt MATH identifier
07064104

Subjects
Primary: 26A51: Convexity, generalizations
Secondary: 47H04‎ ‎52A30

#### Citation

Lara, Teodoro; Merentes, Nelson; Quintero, Roy; Rosales, Edgar. On $m$-convexity of set-valued functions. Adv. Oper. Theory 4 (2019), no. 4, 767--783. doi:10.15352/aot.1810-1429. https://projecteuclid.org/euclid.aot/1557885625

#### References

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