The Henstock-Kurzweil integral of set-valued function

Ratno Bagus Edy Wibowo; Mohamad Muslikh

doi:10.12988/ijma.2014.410332

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The Henstock-Kurzweil integral of set-valued function

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Ratno Bagus Edy Wibowo, Mohamad Muslikh

2014 International Journal of Mathematical Analysis Vol. 8 Issue 53-56 Article Cited by 8 SDG 16

Abstract

A theory of integration of compact convex set-valued is provided by applying the Henstock integral has been studied by She Xiang Hai, Fang Di Kong and Ji Shu Chen [12]. The aim of this paper is to give a similar characterization of the Henstock-Kurzweil integrability for a more general class of set-valued function. Moreover, we compare the Henstock-Kurzweil integral with Debrue [5] and Aumann ones [1]. © 2014 Ratno Bagus Edy Wibowo and Mohamad Muslikh.

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Malang Jl, Veteran Malang, 65145, Indonesia

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