Shashi K Mishra

(Author)

Generalized Convexity and Vector Optimization (2009)Hardcover - 2009, 21 December 2008

Generalized Convexity and Vector Optimization (2009)
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Part of Series
Nonconvex Optimization and Its Applications
Part of Series
Nonconvex Optimization and Its Applications (Closed)
Print Length
294 pages
Language
English
Publisher
Springer
Date Published
21 Dec 2008
ISBN-10
3540856706
ISBN-13
9783540856702

Description

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.

Product Details

Authors:
Shashi K MishraShouyang WangKin Keung Lai
Book Edition:
2009
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
21 December 2008
Dimensions:
23.88 x 16.26 x 2.03 cm
ISBN-10:
3540856706
ISBN-13:
9783540856702
Language:
English
Location:
Berlin, Heidelberg
Pages:
294
Publisher:
Weight:
657.71 gm

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