Band 90
Generalized Convexity and Vector Optimization
Aus der Reihe
Nonconvex Optimization and Its Applications
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- Hardcover
- Taschenbuch ausgewählt
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Sprache:Englisch
Fr. 182.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
23.11.2010
Abbildungen
X, 294 p.
Verlag
Springer BerlinSeitenzahl
294
Maße (L/B/H)
23.5/15.5/1.7 cm
Gewicht
464 g
Auflage
Softcover reprint of hardcover 1st ed. 2009
Sprache
Englisch
ISBN
978-3-642-09930-4
The present lecture note is dedicated to the study of the optimality conditions and the duality results for nonlinear vector optimization problems, in ?nite and in?nite dimensions. The problems include are nonlinear vector optimization problems, s- metric dual problems, continuous-time vector optimization problems, relationships between vector optimization and variational inequality problems. Nonlinear vector optimization problems arise in several contexts such as in the building and interpretation of economic models; the study of various technolo- cal processes; the development of optimal choices in ?nance; management science; production processes; transportation problems and statistical decisions, etc. In preparing this lecture note a special effort has been made to obtain a se- contained treatment of the subjects; so we hope that this may be a suitable source for a beginner in this fast growing area of research, a semester graduate course in nonlinear programing, and a good reference book. This book may be useful to theoretical economists, engineers, and applied researchers involved in this area of active research. The lecture note is divided into eight chapters: Chapter 1 brie?y deals with the notion of nonlinear programing problems with basic notations and preliminaries. Chapter 2 deals with various concepts of convex sets, convex functions, invex set, invex functions, quasiinvex functions, pseudoinvex functions, type I and generalized type I functions, V-invex functions, and univex functions.
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