A Fixed Point Theorem for Mappings which do not Increase Distances
Open Access
- 1 November 1965
- journal article
- Published by JSTOR in The American Mathematical Monthly
- Vol. 72 (9), 1004
- https://doi.org/10.2307/2313345
Abstract
Summary:We consider a Banach space, which comes naturally from $c_0$ and it appears in the literature, and we prove that this space has the fixed point property for non-expansive mappings defined on weakly compact, convex sets