Approximation and Optimization of Discrete and Differential Inclusions

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

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

Bibliography