Fixed point theorems for mappings of nonexpansive type
Teck-Cheong Lim · Proceedings of the American Mathematical Society · 1977
Constructive fixed point theorems for single-valued and compact-valued nonexpansive mappings, which map a closed convex subset C of a Banach space X into X and send the boundary of C relative to X into C , are given. Mappings for which the method of asymptotic center applies are also considered.