Variational Methods in Partially Ordered Spaces / Edition 1

Variational Methods in Partially Ordered Spaces / Edition 1

ISBN-10:
0387004521
ISBN-13:
9780387004525
Pub. Date:
07/30/2003
Publisher:
Springer New York
ISBN-10:
0387004521
ISBN-13:
9780387004525
Pub. Date:
07/30/2003
Publisher:
Springer New York
Variational Methods in Partially Ordered Spaces / Edition 1

Variational Methods in Partially Ordered Spaces / Edition 1

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Overview

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.

Product Details

ISBN-13: 9780387004525
Publisher: Springer New York
Publication date: 07/30/2003
Series: CMS Books in Mathematics , #17
Edition description: 2003
Pages: 350
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

About the Author

Professor Alfred Göpfert researched and taught at the University of Leipzig, at the Technical University of Leuna-Merseburg and at Martin-Luther-University Halle-Wittenberg (Germany). In 1973, his book “Mathematische Optimierung in allgemeinen Vektorräumen” was published by Teubner. Alfred Göpfert has co-authored the textbooks “Funktionalanalysis” (Teubner, 4th edition 1994) and “Lexikon der Optimierung - Optimierung und optimale Steuerung” (Akademie Verlag Berlin, 1986) as well as the monographs “Vektoroptimierung - Theorie, Verfahren und Anwendungen” (Teubner, 1990) and “Variational Methods in Partially Ordered Spaces” (Springer, 2003). Alfred Göpfert worked on the final version of the second edition of the monograph “Variational Methods in Partially Ordered Spaces” until his death in January 2023.

Hassan Riahi received his Ph.D. degree in Applied Mathematics in 1989 at the University of Montpelier. Since 1990 he is a Professor in Applied Mathematics at the Sémlalia Faculty of Sciences at the University Cadi Ayyad in Marrakesh. His main research interests include Numerical and theoretical optimization, Variational inequalities, and Convex analysis, and he is the author of over 60 published papers and four edited books. He supervised a dozen doctoral students.

Christiane Tammer is Professor at Martin-Luther-University Halle-Witten[1]berg. She is working in the fields of variational analysis and optimization. She has co-authored five monographs, i.e., “Scalarization and Separation by Translation Invariant Functions”, Springer (2020); “Set-valued Optimization - An Introduction with Applications”, Springer (2015); “Variational Methods in Partially Ordered Spaces”, Springer (2003); “Angewandte Funktionalanalysis”, Vieweg+ Teubner (2009); “Approximation und Nichtlineare Optimierung in Praxisaufgaben”, Springer (2017). She is Editor-in-Chief of the journal Optimization, Co-Editor in Chief of the journal Applied Set-Valued Analysis and Optimization and a member of the Editorial Board of several journals, the Scientific Committee of the Working Group on Generalized Convexity and EUROPT Managing Board.

Constantin Zălinescu is a Professor Emeritus (Mathematics) at Alexandru Ioan Cuza University, Ia¸si, Romania, and presently he is a Researcher at Octav Mayer Institute of Mathematics, Ia¸si, Romania. His research interest is mainly in convex and vector optimization. He (co-)authored four books and more than 100 peer-reviewed journal articles. He has supervised 2 PhD students.

Table of Contents

Examples.- Functional Analysis over Cones.- Optimization in Partially Ordered Spaces.- Applications.
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