The fixed point theorems of Brouwer and Schauder; measures of noncompactness; minimal sets for a measure of noncompactness; convexity and smoothness; near uniform convexity and near uniform smoothness; fixed point for nonexpansive mappings and normal structure; fixed point theorems in the absence of normal structure; uniformly Lipschitzian mappings; asymptotically regular mappings; packing rates and 0-contractiveness constants.