Ebook: Generalized Convexity and Vector Optimization
- Tags: Calculus of Variations and Optimal Control, Optimization, Operations Research/Decision Theory
- Series: Nonconvex Optimization and Its Applications 90
- Year: 2009
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-ix
Introduction....Pages 1-5
Generalized Convex Functions....Pages 7-24
Generalized Type I and Related Functions....Pages 25-43
Optimality Conditions....Pages 45-90
Duality Theory....Pages 91-164
Second and Higher Order Duality....Pages 165-197
Symmetric Duality....Pages 199-253
Vector Variational-like Inequality Problems....Pages 255-279
Back Matter....Pages 281-294
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.
Content:
Front Matter....Pages i-ix
Introduction....Pages 1-5
Generalized Convex Functions....Pages 7-24
Generalized Type I and Related Functions....Pages 25-43
Optimality Conditions....Pages 45-90
Duality Theory....Pages 91-164
Second and Higher Order Duality....Pages 165-197
Symmetric Duality....Pages 199-253
Vector Variational-like Inequality Problems....Pages 255-279
Back Matter....Pages 281-294
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