Description: Generalized Convexity and Vector Optimization Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Shashi K. Mishra, Shouyang Wang, Kin Keung Lai Format: Hardback Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K ISBN-13: 9783540856702, 978-3540856702 Synopsis 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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Book Title: Generalized Convexity and Vector Optimization
Number of Pages: 294 Pages
Publication Name: Generalized Convexity and Vector Optimization
Language: English
Publisher: Springer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
Item Height: 235 mm
Subject: Engineering & Technology, Mathematics, Management
Publication Year: 2008
Type: Textbook
Item Weight: 629 g
Subject Area: Data Analysis
Author: Kin Keung Lai, Shashi K. Mishra, Shouyang Wang
Item Width: 155 mm
Series: Nonconvex Optimization and Its Applications
Format: Hardcover
