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Invexity and Optimization / by Shashi Kant Mishra, Giorgio Giorgi

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Nonconvex Optimization and Its Applications ; 88 | SpringerLink BücherPublisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008Description: Online-Ressource (digital)ISBN:
  • 9783540785620
Subject(s): Additional physical formats: 9783540785613 | Buchausg. u.d.T.: Invexity and optimization. Berlin : Springer, 2008. X, 266 S.DDC classification:
  • 519.6
  • 510
MSC: MSC: *90C26 | 90C30 | 90C25RVK: RVK: SK 870 | SK 970LOC classification:
  • QA402.5-402.6
  • QA402.5
DOI: DOI: 10.1007/978-3-540-78562-0Online resources:
Contents:
Introduction; 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
Summary: 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.Summary: 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.PPN: PPN: 1647036518Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
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