Variational Analysis and Applications

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...

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Bibliographic Details
Main Author: Mordukhovich, Boris S. (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:Springer Monographs in Mathematics,
Subjects:
Calculus of variations.
Mathematical analysis.
Analysis (Mathematics).
Operations research.
Management science.
ISBN:9783319927756
ISSN:1439-7382
Online Access: Get full text
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Table of Contents:
  • 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.

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