Variational Analysis of Regular Mappings

1. The Classical Theory
Alexander D. Ioffe

2. Metric Theory: Phenomenology
Alexander D. Ioffe

3. Metric Theory: The Infinitesimal Viewpoint
Alexander D. Ioffe

4. Subdifferentials: A Short Introduction
Alexander D. Ioffe

5. Banach Space Theory: Regularity Criteria
Alexander D. Ioffe

6. Banach Space Theory: Special Classes of Mappings
Alexander D. Ioffe

7. Applications to Analysis and Optimization 1
Alexander D. Ioffe

8. Regularity in Finite-Dimensional Spaces
Alexander D. Ioffe

9. Applications to Analysis and Optimization 2
Alexander D. Ioffe

Keywords: Mathematics, Calculus of Variations and Optimal Control; Optimization, Continuous Optimization, Functional Analysis, Global Analysis and Analysis on Manifolds, Difference and Functional Equations