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© 2003

Variational Methods in Partially Ordered Spaces

Textbook

Part of the CMS Books in Mathematics book series (CMSBM)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Pages 1-12
  3. Pages 229-318
  4. Back Matter
    Pages 319-350

About this book

Introduction

In mathematical modeling of processes one often encounters optimization problems involving more than one objective function, so that Multiobjective Optimization (or Vector Optimization) has received new impetus. The growing interest in multiobjective problems, both from the theoretical point of view and as it concerns applications to real problems, asks for a general scheme which embraces several existing developments and stimulates new ones. In this book the authors provide the newest results and applications of this quickly growing field. This book will be of interest to graduate students in mathematics, economics, and engineering, as well as researchers in pure and applied mathematics, economics, engineering, geography, and town planning. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book.

Keywords

Vector optimization algebra calculus linear algebra mathematical modeling modeling multi-objective optimization optimization

Authors and affiliations

  1. 1.Department of Mathematics and Computer ScienceMartin-Luther-University Halle WittenbergHalleGermany
  2. 2.Faculté des Sciences Semlalia, MathematiquesUniversité Cadi AyyadMarrakechMorocco
  3. 3.Faculty of MathematicsUniversity of “Al. I. Cuza” IasiIa\c siRomania

Bibliographic information

  • Book Title Variational Methods in Partially Ordered Spaces
  • Authors Alfred Göpfert
    Hassan Riahi
    Christiane Tammer
    Constantin Zalinescu
  • Series Title CMS Books in Mathematics
  • DOI https://doi.org/10.1007/b97568
  • Copyright Information Springer-Verlag New York, Inc. 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-00452-5
  • Softcover ISBN 978-1-4419-1823-9
  • eBook ISBN 978-0-387-21743-7
  • Series ISSN 1613-5237
  • Edition Number 1
  • Number of Pages XIII, 350
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Operations Research, Management Science
  • Buy this book on publisher's site
Industry Sectors
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Reviews

From the reviews:

"This book is intended to provide a systematic and self-contained presentation of recent significant developments in vector optimization … . specialists will certainly enjoy this monograph … . On the other hand, since the book is written in a rigorous, understandable and teachable way, it may certainly serve to support courses on vector optimization, applied functional analysis, set-valued analysis, etc., targeted at the graduate level. … As a whole, this book can be strongly recommended as an excellent reference of general interest in vector optimization." (Nicolae Popovici, Studia Universitatis Babes-Bolyai Mathematica, Vol. XLIX (4), 2004)

"This book is the result of the cooperation of four known authors working in multiobjective optimization. The reader will find in this book the most important notions and results in this domain. … We strongly recommend this book to graduate students in mathematics, economics, and engineering, and to researchers in pure and applied mathematics." (George Isac, Mathematical Reviews, 2004 h)

"The book presents theory and applications of optimization problems in partially ordered spaces with emphasis on the authors’ profound research results. … The book should be a must for each scientist dealing with vector optimization theory. It delivers new insights for researchers interested in the solution of vector optimization problems. The volume can also be used as a textbook by graduate students." (Petra Weidner, MMOR - Mathematical Methods of Operations Research, June, 2004)

"This exhaustive and well-written monograph represents a welcome addition to the existing optimization literature and adds favourably to any mathematical or operations research library. … The authors take the reader on a wide-ranging journey from basic mathematical tools of partially ordered spaces to solution algorithms for some of the motivating applications … . it balances theory and applications well. The book is written for advanced graduate students or researchers in mathematical optimization." (M Hintermueller, Journal of the Operational Research Society, Vol. 57 (11), 2006)