Topics in Metric Fixed Point Theory : 28 (Cambridge Studies in Advanced Mathematics, Series Number 28)

Hbk, viii, 244 pages. A clean unmarked copy in very good condition. Contents : Preliminaries -- Banach Contraction Principle -- Nonexpansive mappings: introduction -- The basic fixed point theorems for nonexpansive mappings -- Scaling the convexity of the unity ball -- The modulus of convexity and normal structure -- Normal structure and smoothness -- Conditions involving compactness -- Sequential approximation techniques for nonexpansive mappings -- Weak sequential approximations -- Properties of fixed point sets and minimal sets -- Special properties of Hilbert space -- Applications to accretivity -- Ultrafilter methods -- Set-valued mappings -- Uniformly Lipschitzian mappings -- Rotative mappings -- The theorems of Brouwer and Schauder -- Lipschitzian mappings -- Minimal displacement -- The retraction problem. [Fixed point theorems (Topology) - Nonlinear operators] w72 / m16578.