Article ID Journal Published Year Pages File Type
4660470 Topology and its Applications 2007 14 Pages PDF
Abstract

Some ways to obtain upper and lower bounds for measures of noncompactness of retractions onto spheres in infinite-dimensional normed spaces are discussed. Moreover, relations with 0-epi maps are revealed and the extension of condensing maps on spheres is discussed. As an application, some results of Birkhoff–Kellog type and Nussbaum's fixed point theorem on spheres are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology