Regular non-additive multimeasures : fundaments and applications / Alina Gavriluţ, Endre Pap.
Gavriluţ, Alina, author.; Pap, Endre, author.
2023
QA312
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Title Regular non-additive multimeasures : fundaments and applications / Alina Gavriluţ, Endre Pap.
Author Gavriluţ, Alina, author.
ISBN 9783031111006 (electronic bk.)
3031111001 (electronic bk.)
9783031110993
3031110994
DOI https://doi.org/10.1007/978-3-031-11100-6
Published Cham : Springer, [2023]
Copyright ©2023
Language English
Description 1 online resource (vi, 164 pages) : illustrations.
Item Number 10.1007/978-3-031-11100-6 doi
Call Number QA312
Dewey Decimal Classification 515/.42
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Pap, Endre, author.
Series Studies in systems, decision and control ; v. 448.
Available in Other Form Regular non-additive multimeasures.
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Types of multimeasures
Approximation theorems for multimeasures in the Vietoris topology
Regularity of the Gould and Choquet integrals
Appendix.

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