Nonsmooth Optimization and Its Applications

Since nonsmooth optimization problems arise in a diverse range of real-world applications, the potential impact of efficient methods for solving such problems is undeniable. Even solving difficult smooth problems sometimes requires the use of nonsmooth op

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170

Seyedehsomayeh Hosseini Boris S. Mordukhovich André Uschmajew Editors

Nonsmooth Optimization and Its Applications

ISNM International Series of Numerical Mathematics Volume 170 Managing Editors G. Leugering, Erlangen, Germany M. Hintermueller, Berlin, Germany Associate Editors V. N. Starovoitov, Novosibirsk, Russia N. Kenmochi, Kita-ku, Kyoto, Japan R. W. Hoppe, Houston, USA Z. Chen, Beijing, China Honorary Editor K.-H. Hoffmann, Garching, Germany

More information about this series at http://www.springer.com/series/4819

Seyedehsomayeh Hosseini • Boris S. Mordukhovich • André Uschmajew Editors

Nonsmooth Optimization and Its Applications

Editors Seyedehsomayeh Hosseini IAV GmbH Gifhorn, Germany

Boris S. Mordukhovich Department of Mathematics Wayne State University Detroit MI, USA

André Uschmajew Max Planck Institute for Mathematics in the Sciences Leipzig, Germany

ISSN 0373-3149 ISSN 2296-6072 (electronic) International Series of Numerical Mathematics ISBN 978-3-030-11369-8 ISBN 978-3-030-11370-4 (eBook) https://doi.org/10.1007/978-3-030-11370-4 Library of Congress Control Number: 2019933570 Mathematics Subject Classification (2010): 49J52, 49J53, 58K05, 65K10, 90C26, 90C30, 90C52 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

This volume is an outcome of the workshop on nonsmooth optimization and applications held at and financed by the Hausdorff Center for Mathematics in Bonn from May 15 to 19, 2017. During the workshop, senior mathematicians and young scientists have presented their latest works. The six articles in this book have been contributed by workshop speakers and their colla