دانلود کتاب Approximation and optimization of discrete and differential inclusions

This book presents a systematic study of the most important topics of vector optimization such as the existence of efficient points, optimality conditions, scalarization, duality, and the structure of optimal solutions sets. New methods to which particular attention is paid are the theory of nonconvex analysis or analysis over cones, the theory of contingent derivatives of set-valued maps, and the nonstandard approach to duality. By reading this book, graduate students can easily comprehend basic concepts and the most important methods of vector optimization. The researchers who are familiar with this theory will find in the book several new approaches to the subject together with the latest results on it Optimal control theory has numerous applications in both science and engineering. 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.  Read more... 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