The Henstock-Kurzweil integral of set-valued function

Ratno Bagus Edy Wibowo; Mohamad Muslikh

doi:10.12988/ijma.2014.410332

The Henstock-Kurzweil integral of set-valued function

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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].

Original language	English
Pages (from-to)	2741-2755
Number of pages	15
Journal	International Journal of Mathematical Analysis
Volume	8
Issue number	53-56
DOIs	https://doi.org/10.12988/ijma.2014.410332
Publication status	Published - 2014

Keywords

Set-valued function
Set-valued henstockkurzweil integral

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10.12988/ijma.2014.410332

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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].",

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AB - 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].

KW - Set-valued function

KW - Set-valued henstockkurzweil integral

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ER -

The Henstock-Kurzweil integral of set-valued function

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Keywords

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