The James constant, the Jordan–von Neumann constant, weak orthogonality, and fixed points for multivalued mappings

We give some sufficient conditions for the Domínguez–Lorenzo condition in terms of the James constant, the Jordan–von Neumann constant, and the coefficient of weak orthogonality. As a consequence, we obtain fixed point theorems for multivalued nonexpansive mappings. © 2007 Elsevier Inc. All rights reserved