Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

FrontMatter, pg. i
Contents, pg. vii
Chapter One: Introduction, pg. 1
Chapter Two: Gâteaux differentiability of Lipschitz functions, pg. 12
Chapter Three: Smoothness, convexity, porosity, and separable determination, pg. 23
Chapter Four: e-Fréchet differentiability, pg. 46
Chapter Five: G-null and Gn-null sets, pg. 72
Chapter Six: Férchet differentiability except for G-null sets, pg. 96
Chapter Seven: Variational principles, pg. 120
Chapter Eight: Smoothness and asymptotic smoothness, pg. 133
Chapter Nine: Preliminaries to main results, pg. 156
Chapter Ten: Porosity, Gn- and G-null sets, pg. 169
Chapter Eleven: Porosity and e-Fréchet differentiability, pg. 202
Chapter Twelve: Fréchet differentiability of real-valued functions, pg. 222
Chapter Thirteen: Fréchet differentiability of vector-valued functions, pg. 262
Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps, pg. 319
Chapter Fifteen: Asymptotic Fréchet differentiability, pg. 355
Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces, pg. 392
Bibliography, pg. 415
Index, pg. 419
Index of Notation, pg. 423