Skip to main content
SpringerLink
Log in

Variational Methods in Partially Ordered Spaces

  • Textbook
  • © 2003

Overview

Authors:
  1. Alfred Göpfert

    1. Department of Mathematics and Computer Science, Martin-Luther-University Halle Wittenberg, Halle, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Hassan Riahi

    1. Faculté des Sciences Semlalia, Mathematiques, Université Cadi Ayyad, Marrakech, Morocco

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Christiane Tammer

    1. Department of Mathematics and Computer Science, Martin-Luther-University Halle Wittenberg, Halle, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Constantin Zălinescu

    1. Faculty of Mathematics, University of “Al. I. Cuza” Iasi, Ia\c si, Romania

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Examples

    Pages 1-12

  3. Functional Analysis over Cones

    Pages 13-79

  4. Optimization in Partially Ordered Spaces

    Pages 81-228

  5. Applications

    Pages 229-318

  6. Back Matter

    Pages 319-350
    Download chapter PDF
Back to top

Keywords

About this book

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.

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 andapplications 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)

Authors and Affiliations

  • Department of Mathematics and Computer Science, Martin-Luther-University Halle Wittenberg, Halle, Germany

    Alfred Göpfert, Christiane Tammer

  • Faculté des Sciences Semlalia, Mathematiques, Université Cadi Ayyad, Marrakech, Morocco

    Hassan Riahi

  • Faculty of Mathematics, University of “Al. I. Cuza” Iasi, Ia\c si, Romania

    Constantin Zălinescu

Bibliographic Information

  • Book Title: Variational Methods in Partially Ordered Spaces

  • Authors: Alfred Göpfert, Hassan Riahi, Christiane Tammer, Constantin Zălinescu

  • Series Title: CMS Books in Mathematics

  • DOI: https://doi.org/10.1007/b97568

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2003

  • Hardcover ISBN: 978-0-387-00452-5Published: 30 July 2003

  • eBook ISBN: 978-0-387-21743-7Published: 18 April 2006

  • Series ISSN: 1613-5237

  • Series E-ISSN: 2197-4152

  • Edition Number: 1

  • Number of Pages: XIII, 350

  • Topics: Operations Research, Management Science

Publish with us

Policies and ethics

Back to top

Search

Navigation