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.
| Autorius: | Giorgio Giorgi, Shashi K. Mishra, |
| Serija: | Nonconvex Optimization and Its Applications |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2008 |
| Knygos puslapių skaičius: | 276 |
| ISBN-10: | 3540785612 |
| ISBN-13: | 9783540785613 |
| Formatas: | Knyga kietu viršeliu |
| Kalba: | Anglų |
| Žanras: | Management decision making |
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