A fixed point theorem in c₀

Edward Wilfred Odell, Jr. and Y. Sternfeld

Vol. 95 (1981), No. 1, 161–177

DOI: 10.2140/pjm.1981.95.161

Abstract

It is proved that if K is the closed convex hull of a weakly convergent sequence in c₀ then each nonexpansive mapping T : K → K has a fixed point.

Mathematical Subject Classification 2000

Primary: 47H09

Secondary: 46B20, 47H10

Milestones

Received: 12 September 1978

Revised: 2 December 1980

Published: 1 July 1981