Invexity and Optimization

2008
ISBN: 978-3-540-78561-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 266 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1260 g

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.

Giorgi, Giorgio

Mishra, Shashi K.

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Entscheidungstheorie, Sozialwahltheorie
• Mathematik | Informatik Mathematik Operations Research
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

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.