Set-valued Optimization An Introduction with Applications
Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single val
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Akhtar A. Khan Christiane Tammer Constantin Zălinescu
Set-valued Optimization An Introduction with Applications
Vector Optimization Series Editor: Johannes Jahn University of Erlangen-Nürnberg Department of Mathematics Cauerstr. 11 81058 Erlangen Germany [email protected]
Vector Optimization The series in Vector Optimization contains publications in various fields of optimization with vector-valued objective functions, such as multiobjective optimization, multi criteria decision making, set optimization, vector-valued game theory and border areas to financial mathematics, biosystems, semidefinite programming and multiobjective control theory. Studies of continuous, discrete, combinatorial and stochastic multiobjective models in interesting fields of operations research are also included. The series covers mathematical theory, methods and applications in economics and engineering. These publications being written in English are primarily monographs and multiple author works containing current advances in these fields.
More information about this series at http://www.springer.com/series/8175
Akhtar A. Khan • Christiane Tammer • Constantin Z˘alinescu
Set-valued Optimization An Introduction with Applications
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Akhtar A. Khan Rochester Institute of Technology School of Mathematical Sciences Rochester New York USA
Christiane Tammer Halle Germany
Constantin Z˘alinescu University “Al. I. Cuza” Iasi Faculty of Mathematics Iasi Romania
ISSN 1867-8971 ISSN 1867-898X (electronic) ISBN 978-3-642-54264-0 ISBN 978-3-642-54265-7 (eBook) DOI 10.1007/978-3-642-54265-7 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2014951215 © Springer-Verlag Berlin Heidelberg 2015 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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 regulatio
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