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Invexity and Optimization

By: Mishra, Shashi Kant [author.].
Contributor(s): Giorgi, Giorgio [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Nonconvex Optimization and Its Applications: 88Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.Description: X, 266 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540785620.Subject(s): Mathematics | Operations research | Decision making | Mathematical optimization | Mathematics | Optimization | Operation Research/Decision TheoryDDC classification: 519.6 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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