Variational Analysis of Regular Mappings Theory and Applications /

• Κύριος συγγραφέας: Ioffe, Alexander D. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Difference equations.; Functional equations.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Calculus of variations.; Mathematical optimization.; Calculus of Variations and Optimal Control; Optimization.; Continuous Optimization.; Functional Analysis.; Global Analysis and Analysis on Manifolds.; Difference and Functional Equations.

This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory. The origins of met...

Πίνακας περιεχομένων:

• 1 The Classical Theory
• 2 Metric Theory: Phenomenology
• 3 Metric Theory: The Infinitesimal Viewpoint
• 4 Subdifferentials: A Short Introduction
• 5 Banach Space Theory: Regularity Criteria
• 6 Banach Space Theory: Special Classes of Mappings
• 7 Applications to Analysis and Optimization 1
• 8 Regularity in Finite-Dimensional Spaces
• 9 Applications to Analysis and Optimization 2.