Ebook: Topics in Nonconvex Optimization: Theory and Applications

Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science.

This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field.

Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area.

Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science.

This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field.

Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area.

Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science.

This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field.

Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area.

Content:
Front Matter....Pages 1-13
Some Equivalences Among Nonlinear Complementarity Problems, Least-Element Problems, and Variational Inequality Problems in Ordered Spaces....Pages 1-25
Generalized Monotone Maps and Complementarity Problems....Pages 27-46
Optimality Conditions Without Continuity in Multivalued Optimization Using Approximations as Generalized Derivatives....Pages 47-61
Variational Inequality and Complementarity Problem....Pages 63-78
A Derivative for Semipreinvex Functions and Its Applications in Semipreinvex Programming....Pages 79-86
Proximal Proper Saddle Points in Set-Valued Optimization....Pages 87-100
Metric Regularity and Optimality Conditions in Nonsmooth Optimization....Pages 101-114
An Application of the Modified Subgradient Method for Solving Fuzzy Linear Fractional Programming Problem....Pages 115-131
On Sufficient Optimality Conditions for Semi-Infinite Discrete Minmax Fractional Programming Problems Under Generalized V-Invexity....Pages 133-145
Ekeland-Type Variational Principles and Equilibrium Problems....Pages 147-174
Decomposition Methods Based on Augmented Lagrangians: A Survey....Pages 175-203
Second-Order Symmetric Duality with Generalized Invexity....Pages 205-214
A Dynamic Solution Concept to Cooperative Games with Fuzzy Coalitions....Pages 215-230
Characterizations of the Solution Sets and Sufficient Optimality Criteria via Higher-Order Strong Convexity....Pages 231-242
Variational Inequalities and Optimistic Bilevel Programming Problem Via Convexifactors....Pages 243-255
On Efficiency in Nondifferentiable Multiobjective Optimization Involving Pseudo d-Univex Functions; Duality....Pages 257-266
Back Matter....Pages 274-275

Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science.

This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field.

Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area.

Content:
Front Matter....Pages 1-13
Some Equivalences Among Nonlinear Complementarity Problems, Least-Element Problems, and Variational Inequality Problems in Ordered Spaces....Pages 1-25
Generalized Monotone Maps and Complementarity Problems....Pages 27-46
Optimality Conditions Without Continuity in Multivalued Optimization Using Approximations as Generalized Derivatives....Pages 47-61
Variational Inequality and Complementarity Problem....Pages 63-78
A Derivative for Semipreinvex Functions and Its Applications in Semipreinvex Programming....Pages 79-86
Proximal Proper Saddle Points in Set-Valued Optimization....Pages 87-100
Metric Regularity and Optimality Conditions in Nonsmooth Optimization....Pages 101-114
An Application of the Modified Subgradient Method for Solving Fuzzy Linear Fractional Programming Problem....Pages 115-131
On Sufficient Optimality Conditions for Semi-Infinite Discrete Minmax Fractional Programming Problems Under Generalized V-Invexity....Pages 133-145
Ekeland-Type Variational Principles and Equilibrium Problems....Pages 147-174
Decomposition Methods Based on Augmented Lagrangians: A Survey....Pages 175-203
Second-Order Symmetric Duality with Generalized Invexity....Pages 205-214
A Dynamic Solution Concept to Cooperative Games with Fuzzy Coalitions....Pages 215-230
Characterizations of the Solution Sets and Sufficient Optimality Criteria via Higher-Order Strong Convexity....Pages 231-242
Variational Inequalities and Optimistic Bilevel Programming Problem Via Convexifactors....Pages 243-255
On Efficiency in Nondifferentiable Multiobjective Optimization Involving Pseudo d-Univex Functions; Duality....Pages 257-266
Back Matter....Pages 274-275
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