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Regular Non-Additive Multimeasures. Fundaments and Applications

  • 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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Table of contents (7 chapters)

  1. Front Matter

    Pages i-vi
  2. Introduction

    • Alina Gavriluţ, Endre Pap
    Pages 1-5
  3. Types of Multimeasures

    • Alina Gavriluţ, Endre Pap
    Pages 7-31
  4. Regular Multimeasures in the Hausdorff Metric Topology

    • Alina Gavriluţ, Endre Pap
    Pages 33-72
  5. Regular Multimeasures in the Vietoris Topology

    • Alina Gavriluţ, Endre Pap
    Pages 73-87
  6. Regularity of the Gould and Choquet Integrals

    • Alina Gavriluţ, Endre Pap
    Pages 119-144
  7. Back Matter

    Pages 145-164

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.

Keywords

  • mathematical analysis
  • probability
  • statistics
  • fractal theory
  • Measure Theory
  • Multivalued Analysis

Authors and Affiliations

  • Faculty of Mathematics, Alexandru Ioan Cuza University, Iasi, Romania

    Alina Gavriluţ

  • Singidunum University, Belgrade, Serbia

    Endre Pap

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access