Vector optimization : theory, applications, and extensions /

Saved in:
Bibliographic Details
Author / Creator:Jahn, Johannes, 1951-
Edition:2nd ed.
Imprint:Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, 2011.
Description:1 online resource (xv, 481 p.)
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8896516
Hidden Bibliographic Details
ISBN:9783642170058 (electronic bk.)
3642170056 (electronic bk.)
Notes:Includes bibliographical references (p. 449-474) and index.
Description based on print version record.
Summary: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.

MARC

LEADER 00000cam a2200000Ia 4500
001 8896516
003 ICU
005 20120829144400.0
006 m d
007 cr cn|
008 110103s2011 gw a ob 001 0 eng d
020 |a 9783642170058 (electronic bk.) 
020 |a 3642170056 (electronic bk.) 
035 |a (OCoLC)694781443 
037 |a 978-3-642-17004-1  |b Springer  |n http://www.springerlink.com 
040 |a GW5XE  |b eng  |c GW5XE  |d YDXCP  |d EBLCP  |d OCLCQ  |d MHW  |d OCLCQ 
049 |a CGUA 
082 0 4 |a 519.6  |2 22 
090 |a QA402.5  |b .J35 2011 
100 1 |a Jahn, Johannes,  |d 1951-  |0 http://id.loc.gov/authorities/names/n85379600  |1 http://viaf.org/viaf/39480616 
245 1 0 |a Vector optimization :  |b theory, applications, and extensions /  |c Johannes Jahn. 
250 |a 2nd ed. 
260 |a Heidelberg ;  |a New York :  |b Springer-Verlag Berlin Heidelberg,  |c 2011. 
300 |a 1 online resource (xv, 481 p.) 
336 |a text  |b txt  |2 rdacontent  |0 http://id.loc.gov/vocabulary/contentTypes/txt 
337 |a computer  |b c  |2 rdamedia  |0 http://id.loc.gov/vocabulary/mediaTypes/c 
338 |a online resource  |b cr  |2 rdacarrier  |0 http://id.loc.gov/vocabulary/carriers/cr 
504 |a Includes bibliographical references (p. 449-474) and index. 
505 0 |a Vector Optimization; Preface; Contents; Part I Convex Analysis; Chapter 1 Linear Spaces; Chapter 2 Maps on Linear Spaces; Chapter 3 Some Fundamental Theorems; Part II Theory of Vector Optimization; Chapter 4 Optimality Notions; Chapter 5 Scalarization; Chapter 6 Existence Theorems; Chapter 7 Generalized Lagrange Multiplier Rule; Chapter 8 Duality; Part III Mathematical Applications; Chapter 9 Vector Approximation; Chapter 10 Cooperative n Player Differential Games; Part IV Engineering Applications; Chapter 11 Theoretical Basics of Multiobjective Optimization; Chapter 12 Numerical Methods. 
520 |a 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. 
588 |a Description based on print version record. 
650 0 |a Mathematical optimization.  |0 http://id.loc.gov/authorities/subjects/sh85082127 
650 0 |a Vector spaces.  |0 http://id.loc.gov/authorities/subjects/sh85142456 
650 0 |a Linear topological spaces.  |0 http://id.loc.gov/authorities/subjects/sh85077185 
650 4 |a Mathematics. 
655 4 |a Electronic books. 
650 7 |a Linear topological spaces.  |2 fast  |0 http://id.worldcat.org/fast/fst00999101 
650 7 |a Mathematical optimization.  |2 fast  |0 http://id.worldcat.org/fast/fst01012099 
650 7 |a Vector spaces.  |2 fast  |0 http://id.worldcat.org/fast/fst01164670 
856 4 0 |u http://dx.doi.org/10.1007/978-3-642-17005-8  |y SpringerLink 
903 |a HeVa 
035 |a (ICU)8896516 
929 |a eresource 
999 f f |i 157aa982-265e-5e57-ba5d-9e2776734005  |s 8f01968a-9f4c-514a-b6a4-ba1f537c60d0 
928 |t Library of Congress classification  |a QA402.5 .J35 2011  |l Online  |c UC-FullText  |u http://dx.doi.org/10.1007/978-3-642-17005-8  |z SpringerLink  |g ebooks  |i 11481304