This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions.
- In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important ones
- Includes practical examples
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Chapter 1. Convex Sets and Functions
Chapter 2. Multivalued Locally Adjoint Mappings
Chapter 3. Mathematical Programming and Multivalued Mappings
Chapter 4. Optimization of Ordinary Discrete and Differential Inclusions and t1-Transversality Conditions
Chapter 5. On Duality of Ordinary Discrete and Differential Inclusions with Convex Structures
Chapter 6. Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation