Variational Mcshane and Pettis Integrals of Multifunctions

Sokol Bush Kaliaj

doi:10.2478/tmmp-2024-0004

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Variational Mcshane and Pettis Integrals of Multifunctions

Tatra Mountains Mathematical Publications

Volume 86 (2024): Issue 1 (September 2024)

By: Sokol Bush Kaliaj

Open Access

|Apr 2024

Abstract

In this paper, we present full characterizations of variationally McShane and Pettis integrable multifunctions in terms of the cubic derivative and the variational McShane measure of additive interval multifunctions.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2024-0004 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 31 - 46

Submitted on: Jun 17, 2023

Accepted on: Dec 20, 2023

Published on: Apr 13, 2024

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Variational McShane integral,

McShane variational measure,

cubic derivative,

Pettis integral,

additive interval multifunctions

Related subjects:

Mathematics,

General mathematics

© 2024 Sokol Bush Kaliaj, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 86 (2024): Issue 1 (September 2024)