Unconditional bases and fixed points of nonexpansive mappings

Pei-Kee Lin

Vol. 116 (1985), No. 1, 69–76

DOI: 10.2140/pjm.1985.116.69

Abstract

We prove that every Banach space with a 1-unconditional basis has the fixed point property for nonexpansive mappings. In fact the argument works if the unconditional constant is < ( − 3)∕2.

Mathematical Subject Classification 2000

Primary: 47H10

Secondary: 46B20

Milestones

Received: 17 May 1983

Revised: 28 December 1983

Published: 1 January 1985