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|a Mishra, Shashi K.
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|a Invexity and Optimization
|h [electronic resource] /
|c by Shashi K. Mishra, Giorgio Giorgi.
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|a 1st ed. 2008.
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|a Berlin, Heidelberg :
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|a Nonconvex Optimization and Its Applications,
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|a 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.
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| 520 |
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|a 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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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Mathematical optimization.
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