Overview
- Includes an exhaustive study on regularity and other continuity properties for different types of multimeasures
- Provides not only mathematical applications but also some possible physical implications
- Written by experts in the field
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 448)
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About this book
This book is intended to be an exhaustive study on regularity and other properties of continuity for different types of non-additive multimeasures and with respect to different types of topologies. The book is addressed to graduate and postgraduate students, teachers and all researchers in mathematics, but not only. Since the notions and results offered by this book are closely related to various notions of the theory of probability, this book will be useful to a wider category of readers, using multivalued analysis techniques in areas such as control theory and optimization, economic mathematics, game theory, decision theory, etc.
Measure and integration theory developed during the early years of the 20th century is one of the most important contributions to modern mathematical analysis, with important applications in many fields. In the last years, many classical problems from measure theory have been treated in the non-additive case and also extended in the set-valued case. The property of regularity is involved in many results of mathematical analysis, due to its applications in probability theory, stochastic processes, optimal control problems, dynamical systems, Markov chains, potential theory etc.
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Regular Non-Additive Multimeasures. Fundaments and Applications
Authors: Alina Gavriluţ, Endre Pap
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-031-11100-6
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-11099-3Published: 08 October 2022
Softcover ISBN: 978-3-031-11102-0Published: 09 October 2023
eBook ISBN: 978-3-031-11100-6Published: 07 October 2022
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: VI, 164
Number of Illustrations: 1 b/w illustrations
Topics: Engineering Mathematics, Mathematical and Computational Engineering, Control and Systems Theory