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Titlebook: Regular Non-Additive Multimeasures. Fundaments and Applications; Alina Gavriluţ,Endre Pap Book 2023 The Editor(s) (if applicable) and The

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发表于 2025-3-21 19:23:14 | 显示全部楼层 |阅读模式
书目名称Regular Non-Additive Multimeasures. Fundaments and Applications
编辑Alina Gavriluţ,Endre Pap
视频video
概述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
丛书名称Studies in Systems, Decision and Control
图书封面Titlebook: Regular Non-Additive Multimeasures. Fundaments and Applications;  Alina Gavriluţ,Endre Pap Book 2023 The Editor(s) (if applicable) and The
描述.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 chai
出版日期Book 2023
关键词mathematical analysis; probability; statistics; fractal theory; Measure Theory; Multivalued Analysis
版次1
doihttps://doi.org/10.1007/978-3-031-11100-6
isbn_softcover978-3-031-11102-0
isbn_ebook978-3-031-11100-6Series ISSN 2198-4182 Series E-ISSN 2198-4190
issn_series 2198-4182
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 22:46:58 | 显示全部楼层
Regular Non-Additive Multimeasures. Fundaments and Applications978-3-031-11100-6Series ISSN 2198-4182 Series E-ISSN 2198-4190
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https://doi.org/10.1007/978-3-031-11100-6mathematical analysis; probability; statistics; fractal theory; Measure Theory; Multivalued Analysis
发表于 2025-3-22 10:43:41 | 显示全部楼层
Types of Multimeasures,, exhaustivity, (strongly) order continuity, (null)null-additivity, properties (E) and ., (uniformly) autocontinuity, (single) asymptotic null-additivity etc.) of monotone multimeasures taking values in the family of nonvoid closed subsets of a real normed space, properties that will be useful throughout this book.
发表于 2025-3-22 15:27:50 | 显示全部楼层
Regular Multimeasures in the Hausdorff Metric Topology,In this chapter, we shall introduce different types of abstract regularity for the multimeasures case and we shall establish various relationships among them. These results will find their direct applicability in order to obtain Alexandroff, Egoroff and Lusin type theorems in the set-valued case.
发表于 2025-3-22 19:43:32 | 显示全部楼层
Regularity and Atomicity in an Abstract Hypertopology for Multimeasures,A study on certain atomicity problems is linked to regularity in this chapter. Characterizations of atoms and non-atomicity for multimeasures taking values, most general, in the family of all nonempty subsets of a topological space, are given.
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