Henstock Kurzweil integral on quasilinear metric spaces for set valued function

The concept of integral in a quasilinear metric space was first introduced by Lupulescu and O’Regan. Lupulescu and O’Regan use the Riemann integral concept. The aim of this article is to elaborate Henstock Kurzweil’s integral concept in quasilinear metric spaces for set-valued functions. In addition...

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Bibliographic Details
Main Authors: Wilujeng, Diah Rahayu, Alghofari, Abdul Rouf, Muslikh, Mohamad
Format: Conference Proceeding
Language:English
Subjects:
Metric space
Online Access:Get full text
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Summary:The concept of integral in a quasilinear metric space was first introduced by Lupulescu and O’Regan. Lupulescu and O’Regan use the Riemann integral concept. The aim of this article is to elaborate Henstock Kurzweil’s integral concept in quasilinear metric spaces for set-valued functions. In addition, it will be shown that the singularity and linearity properties which apply to the Riemann integral in quasilinear metric spaces also apply to the Henstock Kurzweil integral.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0191837