On Nonexpansive Mappings
L. A. Karlovitz · Proceedings of the American Mathematical Society · 1976
A generalized Hilbert space property is used to analyze nonexpansive mappings in certain settings. In particular it is shown that in ${l_1}$ and in the important, recently defined, space ${J_0}$, a nonexpansive self-mapping of a bounded weak$^{\ast }$ closed convex subset has a fixed point.