On commuting families of nonexpansive operators
Author: Gideon Schechtman
Journal: Proc. Amer. Math. Soc. 84 (1982), 373-376
MSC: Primary 47H09; Secondary 47H10
MathSciNet review: 640234
Abstract: For each , , there exist a weakly compact, convex subset of and a family of nonexpansive operators of into such that there is no common fixed point for the whole family but any (finite) strict subfamily admits a common fixed point.
Keywords: Common fixed point, nonexpansive operators, weakly compact sets, convex sets
Article copyright: © Copyright 1982 American Mathematical Society