ENGLISH

Invexity and Optimization

By Shashi Kant Mishra , Giorgio Giorgi (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
3540785612, 978-3-540-78561-3, 3540785620, 9783540785620
DOI
10.1007/978-3-540-78562-0
ISSN
1571-568X
LCC
QA402.5 .M569 2008
Open Library ID
OL17064831M
Language
english
Format
PDF
Filesize
2 MB (2308811 bytes)
Series
Nonconvex Optimization and Its Applications 88
Edition
1
Pages
266\269
Library
mexmat
Time added
2009-07-20 03:45:11
Optimization; Operations Research/Decision Theory

Description

Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.

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