Invexity and Optimization [electronic resource]/ by Shashi Kant Mishra, Giorgio Giorgi.
Series: Nonconvex Optimization and Its Applications ; 88Publication details: Berlin, Heidelberg: Springer Berlin Heidelberg, 2008.Description: digitalISBN:- 9783540785620
- 519.6
Introduction -- 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 .
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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