Contents

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Chapter One: Introduction 1
4. Chapter Two: Gâteaux differentiability of Lipschitz functions 12
5. Chapter Three: Smoothness, convexity, porosity, and separable determination 23
6. Chapter Four: ε-Fréchet differentiability 46
7. Chapter Five: Γ-null and Γn-null sets 72
8. Chapter Six: Férchet differentiability except for Γ-null sets 96
9. Chapter Seven: Variational principles 120
10. Chapter Eight: Smoothness and asymptotic smoothness 133
11. Chapter Nine: Preliminaries to main results 156
12. Chapter Ten: Porosity, Γn- and Γ-null sets 169
13. Chapter Eleven: Porosity and ε-Fréchet differentiability 202
14. Chapter Twelve: Fréchet differentiability of real-valued functions 222
15. Chapter Thirteen: Fréchet differentiability of vector-valued functions 262
16. Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps 319
17. Chapter Fifteen: Asymptotic Fréchet differentiability 355
18. Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces 392
19. Bibliography 415
20. Index 419
21. Index of Notation 423