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.
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