Variational Analysis and Applications

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Springer Monographs in Mathematics

ISBN:	3030065138
ISBN 13:	9783030065133
Autor:	Mordukhovich, Boris S
Verlag:	Springer Verlag GmbH
Umfang:	xix, 622 S., 36 farbige Illustr., 622 p. 36 illus. in color.
Erscheinungsdatum:	20.12.2018
Auflage:	1/2018
Produktform:	Kartoniert
Einband:	Kartoniert

Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developments are discussed at the end of each chapter with comprehensive commentaries which emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research. The first half of the book (Chapters 1-6) gives a systematic exposition of key concepts and facts, containing basic material as well as some recent and new developments. These first chapters are particularly accessible to masters/doctoral students taking courses in modern optimization, variational analysis, applied analysis, variational inequalities, and variational methods. The reader’s development of skills will be facilitated as they work through each, or a portion of, the multitude of exercises of varying levels. Additionally, the reader may find hints and references to more difficult exercises and are encouraged to receive further inspiration from the gems in chapter commentaries. Chapters 7-10 focus on recent results and applications of variational analysis to advanced problems in modern optimization theory, including its hierarchical and multiobjective aspects, as well as microeconomics, and related areas. It will be of great use to researchers and professionals in applied and behavioral sciences and engineering.

Artikelnummer: 7822596 Kategorie: Sonstiges

Beschreibung

Beschreibung

Presents applications focusing on new classes of variational problems and models from economics, applied sciences, and engineeringComprehensive commentaries emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research Large number of exercises help readers better understand the basic material and develop research skills

Autorenporträt

Boris S. Mordukhovich is a Distinguished University Professor of Mathematics at Wayne State University. His areas of research include optimization and variational analysis, control theory, nonlinear systems, generalized differentiation, and various applications. Professor Mordukhovich has authored more than 400 publications including two volumes in Springers Grundlehren series entitled Variational Analysis and Generalized Differentiation. He is a Fellow of the American Mathematical Society (AMS) and the Society of Industrial and Applied Mathematics (SIAM).