Selection Properties and Set-Valued Young Integrals of Set-Valued Functions

被引：0
作者：
Mariusz Michta
Jerzy Motyl
机构：
[1] University of Zielona Góra,Faculty of Mathematics, Computer Science and Econometrics
来源：
Results in Mathematics | 2020年 / 75卷
关键词：
Hölder-continuity; set-valued function; set-valued Young and Riesz p-variation; set-valued Young integral; selection; generalized Steiner center; 26A33; 26A16; 26A45; 28B20; 47H04;
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摘要：
The paper deals with some selection properties of set-valued functions and different types of set-valued integrals of a Young type. Such integrals are considered for classes of Hölder continuous or with bounded Young p-variation set-valued functions. Two different cases are considered, namely set-valued functions with convex values and without convexity assumptions. The integrals contain as a particular case set-valued stochastic integrals with respect to a fractional Brownian motion, and therefore, their properties are crucial for the investigation of solutions to stochastic differential inclusions driven by a fractional Brownian motion.
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