Shashi K. Mishra, Giorgio Giorgi

Invexity and Optimization

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Nonconvex Optimization and Its Applications 88
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 12237173, 978-3-540-78561-3
• 2008
• Seitenzahl: 276
• Erscheinungstermin: 23. Mai 2008
• Englisch
• Abmessung: 241mm x 160mm x 20mm
• Gewicht: 572g
• ISBN-13: 9783540785613
• ISBN-10: 3540785612
• Artikelnr.: 23533255

Inhaltsangabe

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.

---

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.

Rezensionen

From the reviews: "The present book is the first monograph that presents an overview (and also some new results) on invex and related functions in various types of optimization problems ... . The book is well written and well organized. ... accessible textbook which can be useful as a reference for researchers and graduate students." (Vicente Novo, Mathematical Reviews, Issue 2009 C)