an:07053061
Zbl 1412.26064
Khodaei, Hamid
Selections of generalized convex set-valued functions satisfying some inclusions
EN
J. Math. Anal. Appl. 474, No. 2, 1104-1115 (2019).
00432520
2019
j
26E25
convex set-valued functions; inclusion; Radstr??m's cancelation lemma; selection; set-valued dynamics
In this note, the author investigates the existence of a unique selection of convex set-valued functions satisfying some generalized set-valued inclusions by means of Radstr??m's cancelation lemma and of a recent result of \textit{M. Piszczek} [Result. Math. 64, No. 1--2, 1--12 (2013; Zbl 1277.39032)], weakening the hypotheses considered in [\textit{C. Park} et al., Appl. Math. Lett. 24, No. 11, 1910--1914 (2011; Zbl 1236.39034)] for achieving the same results. Some applications of set-valued dynamics are provided, too, in order to illustrate the theoretical results of the paper.
Sorin-Mihai Grad (Vienna)
Zbl 1236.39034; Zbl 1277.39032