Generalized convexity and vector optimiz
โ Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai
๐ Library
๐
2008
๐ Springer
๐ English
โฆ LIBER โฆ
๐
Generalized Convexity and Vector Optimization
โ Scribed by Dr. Shashi Kant Mishra, Prof. Shou-Yang Wang, Prof. Kin Keung Lai (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2009
- Tongue
- English
- Leaves
- 297
- Series
- Nonconvex Optimization and Its Applications 90
- Edition
- 1
- Category
- Library
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โฆ Synopsis
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.
โฆ Table of Contents
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
โฆ Subjects
Calculus of Variations and Optimal Control; Optimization; Operations Research/Decision Theory
๐ SIMILAR VOLUMES
Generalized convexity and vector optimiz
โ Shashi Kant Mishra; Shouyang Wang; Kin Keung Lai
๐ Library
๐
2009
๐ Springer
๐ English
The present lecture note is dedicated to the study of the optimality conditions and the duality results for nonlinear vector optimization problems, in ?nite and in?nite dimensions. The problems include are nonlinear vector optimization problems, s- metric dual problems, continuous-time vector optimi
Generalized Convexity and Vector Optimiz
โ Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai
๐ Library
๐
2008
๐ English
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
Generalized Convexity and Vector Optimiz
โ Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai
๐ Library
๐
2008
๐ Springer
๐ English
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
Generalized Convexity and Optimization:
โ Prof. Alberto Cambini, Prof. Laura Martein (auth.)
๐ Library
๐
2009
๐ Springer-Verlag Berlin Heidelberg
๐ English
<p><P>The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for desc
Generalized Convexity and Optimization:
โ Prof. Alberto Cambini, Prof. Laura Martein (auth.)
๐ Library
๐
2009
๐ Springer-Verlag Berlin Heidelberg
๐ English
<p><P>The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for desc