Variational Analysis and Applications

• Κύριος συγγραφέας: Mordukhovich, Boris S. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Calculus of variations.; Mathematical analysis.; Analysis (Mathematics).; Operations research.; Management science.; Calculus of Variations and Optimal Control; Optimization.; Analysis.; Operations Research, Management Science.

Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developme...

Πίνακας περιεχομένων:

• Preface
• Part 1. Basics of First-Order Analysis.-1. First-Order Generalized Differentiation
• 2. Extremality, Well-Posedness, Calculus Rules
• 3. Optimization via Generalized Differentiation
• Part 2. Second-Order Analysis
• 4. Second-Order Subdifferentials
• 5. Second-Order Subdifferential Calculus
• 6. Full and Tilt Stability of Local Minimizers
• 7. Full Stability for Parametric Variational Systems
• Part 3. Selected Applications
• 8. Full and Tilt Stability in Constrained Optimization.-9. Higher-Order Stability and Numerical Analysis
• 10. Optimal Control of the Sweeping Process
• 11. Microeconomic Modeling
• References
• List of Statements
• Glossary of Notation
• Subject Index.