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Invexity and Optimization (Nonconvex Optimization and Its Applications, 88)

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ISBN-10:

3540785612

ISBN-13:

9783540785613

Author(s): Mishra, Shashi K.; Giorgi, Giorgio
Edition: 2008
Released: May 23, 2008
Publisher: Springer
Format: Hardcover, 276 pages
Related ISBN: 9783642097317
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Description:

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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