Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems (Nonconvex Optimization and Its Applications)
Edition: 1 edition
Publisher: Springer
Published: May 31, 2003
Language: eng
Format: Hardcover
Number of pages: 388
ISBN-13: 9781402013850
Subjects: Applied mathematics; Calculus of variations; Mathematics; Science/Mathematics; Nonsmooth optimization; Calculus; General; Physics; Mathematics / Linear Programming; Mathematical Analysis; Boundary value problems
First sentence: Definition 1.1 (Clarke [8]) The generalized directional derivative of a locally Lipschitz functional f : X IR at a point e X in the direction v X, denoted f0(u;v), is defined by f0(u;v) = lim sup f(x + tv) - f(x)/t.