Variational Analysis and Generalized Differentiation I (eBook)

Ph.D. in Mathematics (1973); distinguished faculty and lifetime scholar of the Academy of Scholars; more than 200 publications (including books and patents); many outstanding research and teaching awards; numerous invited talks to various meetings (e.g., 15 keynote presentations during the last year); organizer of conference, special sessions, and issues of journals; Editorial Boards of 11 international journals; grants and awards from NSF, NATO, NSERC, BSF, Australian Research Council, etc.

Preface 7
Acknowledgments 15
Contents 17
Volume I Basic Theory 24
1 Generalized Differentiation in Banach Spaces 25
1.1 Generalized Normals to Nonconvex Sets 26
1.2 Coderivatives of Set-Valued Mappings 61
1.3 Subdi.erentials of Nonsmooth Functions 103
1.4 Commentary to Chap. 1 154
2 Extremal Principle in Variational Analysis 193
2.1 Set Extremality and Nonconvex Separation 194
2.2 Extremal Principle in Asplund Spaces 202
2.3 Relations with Variational Principles 225
2.4 Representations and Characterizations in Asplund Spaces 236
2.5 Versions of Extremal Principle in Banach Spaces 252
2.6 Commentary to Chap. 2 271
3 Full Calculus in Asplund Spaces 283
3.1 Calculus Rules for Normals and Coderivatives 283
3.2 Subdifferential Calculus and Related Topics 318
3.3 SNC Calculus for Sets and Mappings 363
3.4 Commentary to Chap. 3 383
4 Characterizations of Well-Posedness and Sensitivity Analysis 399
4.1 Neighborhood Criteria and Exact Bounds 400
4.2 Pointbased Characterizations 406
4.3 Sensitivity Analysis for Constraint Systems 428
4.4 Sensitivity Analysis for Variational Systems 443
4.5 Commentary to Chap. 4 484
References 499
List of Statements 565
Glossary of Notation 587
Subject Index 591