Invexity and Optimization
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.
| Autor: | Giorgi, Giorgio Mishra, Shashi K. |
|---|---|
| ISBN: | 9783540785613 |
| Sprache: | Englisch |
| Seitenzahl: | 266 |
| Produktart: | Gebunden |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 23.05.2008 |
| Schlagworte: | Duality Generalized Convexity Generalized Monotonicity Invex Functions Nonlinear Mathematical Programming Optimality Optimality Conditions Vector Optimization linear optimization nonlinear optimization |
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