Mishra / Giorgi Invexity and Optimization

1. Auflage 2008
ISBN: 978-3-540-78562-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 88, 266 Seiten, eBook

Reihe: Nonconvex Optimization and Its Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Mishra, Shashi K.

Giorgi, Giorgio

Inhaltsverzeichnis

Invex Functions (The Smooth Case).- ?-Pseudolinearity: Invexity and Generalized Monotonicity.- Extensions of Invexity to Nondifferentiable Functions.- Invexity in Nonlinear Programming.- Invex Functions in Multiobjective Programming.- Variational and Control Problems Involving Invexity.- Invexity for Some Special Functions and Problems.