Overview
This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning.
Full Product Details
Author: Johannes Jahn
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Dimensions:
Width: 15.50cm
, Height: 2.80cm
, Length: 23.50cm
Weight: 1.880kg
ISBN: 9783540206156
ISBN 10: 3540206159
Pages: 478
Publication Date: 21 January 2004
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Format: Hardback
Publisher's Status: Active
Availability: Awaiting stock
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.
Reviews
From the reviews: <p> J. Jahn, well known by his papers and books on convex analysis and optimization a ] wrote this interesting book that gives a clear insight into theory and application of vector optimization. It is not only a revised version of the book from 1986 a ] but he also extended the contents considerably a ] . (Alfred GApfert, Zentralblatt MATH, Vol. 1055, 2005) <p> This volume is a revised and substantially enlarged version of the authora (TM)s book a ] . This excellent book will be very useful as an introduction to vector optimization and will also constitute a valuable reference for researchers. It will undoubtedly become a ] a classical reference in the field. (Juan-Enrique Martinez-Legaz, Mathematical Reviews, 2005c) <p> The book under review is dedicated to the theory of vector optimization in general spaces. a ] All at all, the book highlights very well recent developments in the field of active research a ] . The material is well presented, preliminaries are discussed in detail, and many illustrations help to understand the complicated facts. a ] may be warmly recommended to graduate students and researchers in optimization, numerical mathematics, operations research, engineering and other fields which apply optimization methods. (C. Tammer, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 109 (4), 2007)
From the reviews: J. Jahn, well known by his papers and books on convex analysis and optimization ! wrote this interesting book that gives a clear insight into theory and application of vector optimization. It is not only a revised version of the book from 1986 ! but he also extended the contents considerably ! . (Alfred Gopfert, Zentralblatt MATH, Vol. 1055, 2005) This volume is a revised and substantially enlarged version of the author's book ! . This excellent book will be very useful as an introduction to vector optimization and will also constitute a valuable reference for researchers. It will undoubtedly become ! a classical reference in the field. (Juan-Enrique Martinez-Legaz, Mathematical Reviews, 2005c) The book under review is dedicated to the theory of vector optimization in general spaces. ! All at all, the book highlights very well recent developments in the field of active research ! . The material is well presented, preliminaries are discussed in detail, and many illustrations help to understand the complicated facts. ! may be warmly recommended to graduate students and researchers in optimization, numerical mathematics, operations research, engineering and other fields which apply optimization methods. (C. Tammer, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 109 (4), 2007)
