Set-Valued Mappings and Enlargements of Monotone Operators

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Springer Optimization and Its Applications 8

ISBN: 1441943463
ISBN 13: 9781441943460
Autor: Burachik, Regina S/Iusem, Alfredo N
Verlag: Springer Verlag GmbH
Umfang: xiv, 294 S., 15 s/w Illustr., 294 p. 15 illus.
Erscheinungsdatum: 29.11.2010
Auflage: 1/2010
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 1499304 Kategorie:

Beschreibung

This work offers the first comprehensive treatment in book form of the fairly new subdiscipline in set-valued analysis of enlargements of maximal monotone operators, including several important new results in the field. In the last decades, with the development of nonsmooth optimization, effective algorithms have been developed to solve these kinds of problems, such as nonsmooth variational inequalities. Several of these methods, such as bundle methods for variational problems, are fully developed and analyzed in this book. This book is addressed to mathematicians, engineers, economists, and researchers interested in acquiring a solid mathematical foundation in the subject matter. Containing extensive exercises and examples throughout the text, the first four chapters of the book can also be used for a one-quarter course in set-valued analysis and maximal monotone operators for graduate students in pure and applied mathematics, mathematical economics, operations research and related areas.

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