Set-valued Kurzweil-Henstock Integral in Riesz spaces
Antonio Boccuto, Anna Maria Minotti, Anna Rita Sambucini
TL;DR
This paper introduces a multivalued Kurzweil-Henstock integral in Riesz spaces, exploring its properties and comparing it with the Aumann integral approach, advancing the mathematical framework for set-valued integration.
Contribution
It develops a new multivalued integral in Riesz spaces using Kurzweil-Henstock construction, expanding the set-valued integration theory.
Findings
Properties of the multivalued Kurzweil-Henstock integral are established
Comparison with Aumann integral highlights differences and similarities
Provides a foundation for further research in set-valued integration in Riesz spaces
Abstract
A multivalued integral in Riesz spaces is given using the Kurzweil-Henstock integral construction. Some of its properties and a comparison with the Aumann approach are also investigated.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFunctional Equations Stability Results · Advanced Banach Space Theory · Nonlinear Differential Equations Analysis