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|a 9783540785620
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|a Mishra, Shashi K.
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245 |
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|a Invexity and Optimization
|h Elektronische Ressource
|c by Shashi K. Mishra, Giorgio Giorgi
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250 |
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|a 1st ed. 2008
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260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2008, 2008
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300 |
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|a X, 266 p
|b online resource
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505 |
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|a 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
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653 |
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|a Operations research
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653 |
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|a Optimization
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653 |
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|a Mathematical optimization
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653 |
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|a Operations Research and Decision Theory
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700 |
1 |
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|a Giorgi, Giorgio
|e [author]
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041 |
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7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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490 |
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|a Nonconvex Optimization and Its Applications
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|a 10.1007/978-3-540-78562-0
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856 |
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|u https://doi.org/10.1007/978-3-540-78562-0?nosfx=y
|x Verlag
|3 Volltext
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|a 519.6
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520 |
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|a 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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