Second-Order Variational Analysis in Optimization, Variational Stability, and Control

first monograph entirely devoted to the rapidly developing area of second-order variational analysis and its applications to optimization, equilibria, stability, control, mechanics, and social-economic modeling.
includes recent results
contains a substantial number of exercises at various levels of difficulties with solution hints for more challenging ones
formulate open questions and conjectures together with extended commentaries and a large reference list at end of each chapter
comprehensive, systematically developed and entirely self-contained

Copious exercises at various levels of difficulties with solution hints for more challenging ones Open questions and conjectures with extended commentaries Rapidly developing area of second-order variational analysis and its applications

Auteur
Boris S. Mordukhovich is Distinguished Professor of Mathematics at Wayne State University. He has more than 500 publications including several monographs. Among his best known achievements are the introduction and development of powerful constructions of generalized differentiation and their applications to broad classes of problems in variational analysis, optimization, equilibrium, control, economics, engineering, and other fields. Mordukhovich is a SIAM Fellow, an AMS Fellow, and a recipient of many international awards and honors including Doctor Honoris Causa degrees from six universities over the world. He is a Highly Cited Researcher in Mathematics. His research has been supported by continued grants from the National Science Foundations and the Air Force Office of Scientific Research.

Contenu
Preface.- 1. Basic Concepts of Second-Order Analysis.- 2. Second-Order Subdifferential Calculus.- 3. Computing Second-Order Subdifferentials.- 4. Computing Primal-Dual Second-Order Objects.- 5. Tilt Stability in Optimization.- 6. Full Stability in Optimization.- 7. Full Stability for Parametric Variational Systems.- 8. Critical Multipliers in Variational Systems.- 9. Newton-Type Methods for Tilt-Stable Minimizers.- 10. Sweeping Process Over Controlled Polyhedra.- 11. Sweeping Process with Controlled Perturbations.- 12. Sweeping Process Under Prox-Regularity.- 13. Applications to Controlled Crowd Motion Models.- References.- List of Statements.- List of Figures.- Glossary of Notation.- Subject Index.