Geometry and Non-Convex Optimization

This book offers a comprehensive exploration of the dynamic intersection between geometry and optimization. It delves into the intricate study of Hermite-Hadamard inequalities, Hilbert type integral inequalities, and variational inequalities, providing a rich tapestry of theoretical insights and pra...

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書誌詳細
団体著者: SpringerLink (Online service)
その他の著者: Pardalos, Panos M. (編集者), Rassias, Themistocles M. (編集者)
フォーマット: 電子媒体 eBook
言語:英語
出版事項: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
版:1st ed. 2025.
シリーズ:Springer Optimization and Its Applications, 223
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オンライン・アクセス:https://doi.org/10.1007/978-3-031-87057-6
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その他の書誌記述
要約:This book offers a comprehensive exploration of the dynamic intersection between geometry and optimization. It delves into the intricate study of Hermite-Hadamard inequalities, Hilbert type integral inequalities, and variational inequalities, providing a rich tapestry of theoretical insights and practical applications. Readers will encounter a diverse array of topics, including the bounds for the unweighted Jensen's gap of absolutely continuous functions and the properties of Barrelled and Bornological locally convex spaces. The volume also covers advanced subjects such as multiobjective mixed-integer nonlinear optimization and optimum statistical analysis on sphere surfaces. Contributions from eminent scholars provide a deep dive into C*-ternary biderivations, Erdős-Szekeres products, and variational principles, making this book a must-read for those seeking to expand their understanding of these complex fields. Ideal for researchers and scholars in mathematics and optimization, this volume is an invaluable resource for anyone interested in the latest developments in geometry and nonconvex optimization. Whether you are a seasoned academic or a graduate student, this book will enhance your knowledge and inspire further research in these fascinating domains.
物理的記述:1 online resource (XIV, 895 p. 24 illus.). 15 illus. in color.
ISBN:9783031870576
ISSN:1931-6836 ;
DOI:10.1007/978-3-031-87057-6