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Generalized Convexity and Vector Optimization [electronic resource] /by Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai.

by Mishra, Shashi Kant [author.]; Wang, Shou-Yang [author.]; Lai, Kin Keung [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Nonconvex Optimization and Its Applications: 90Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.Description: online resource.ISBN: 9783540856719.Subject(s): Mathematics | Mathematical optimization | Mathematics | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision TheoryDDC classification: 515.64 Online resources: Click here to access online
Contents:
Generalized Convex Functions -- Generalized Type I and Related Functions -- Optimality Conditions -- Duality Theory -- Second and Higher Order Duality -- Symmetric Duality -- Vector Variational-like Inequality Problems.
In: Springer eBooksSummary: The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.
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Generalized Convex Functions -- Generalized Type I and Related Functions -- Optimality Conditions -- Duality Theory -- Second and Higher Order Duality -- Symmetric Duality -- Vector Variational-like Inequality Problems.

The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.

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