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Invexity and Optimization

Giorgio Giorgi, Shashi K. Mishra

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Springer Berlin img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Sonstiges

Beschreibung

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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Schlagwörter

Duality, Optimality Conditions, Generalized Convexity, Invex Functions, Nonlinear Mathematical Programming, linear optimization, nonlinear optimization, Optimality, Vector Optimization, optimization, Generalized Monotonicity