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Approximation and optimization of discrete and differential inclusions. (English) Zbl 1235.65002

Elsevier Insights. Amsterdam: Elsevier (ISBN 978-0-12-388428-2/hbk). xv, 379 p. (2011).
The goals of this book are to present the basic concepts and principles of mathematical programming in terms of set-valued analysis and on the basis of the method of approximation, to develop a comprehensive optimality theory of problems described by ordinary and partial differential inclusion.
The book consists of the following six chapters:
1. Convex Sets and Functions; 2. Multivalued Locally Adjoint Mappings; 3. Mathematical Programming and Multivalued Mappings; 4. Optimization Ordinary Discrete and Differential Inclusions and \(t_1\)-Transversality Conditions; 5. On Duality of Ordinary Discrete and Differential Inclusions With Convex Structures; 6. Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation.

MSC:

65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
65K05 Numerical mathematical programming methods
90C90 Applications of mathematical programming
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