Othogonality and fixed points on nonexpansive maps
Brailey Sims · Project Euclid (Cornell University) · 1988
The concept of weak- orthogonality for a Banach lattice is examined. A proof that in such a lattice non expansive self maps of a non empty weakly compact convex set have fixed points is outlined. A geometric generalization of weak- orthogonality is introduced and related to the Opial condition.