Invexity and Optimization
| By: | Shashi K. Mishra; Giorgio Giorgi |
| Publisher: | Springer Nature |
| Print ISBN: | 9783642097317 |
| eText ISBN: | 9783540785620 |
| Edition: | 0 |
| Copyright: | 2008 |
| Format: | Page Fidelity |
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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.