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Invexity and Optimization
Başlık:
Invexity and Optimization
ISBN:
9783540785620
Personal Author:
Edition:
1st ed. 2008.
Yayın Bilgileri:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Fiziksel Tanımlama:
X, 266 p. online resource.
Series:
Nonconvex Optimization and Its Applications ; 88
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.
Abstract:
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.
Added Author:
Dil:
English