Fixed point theory and nonexpansive mappings
Recall that a Banach space X has the weak fixed point property if for any nonempty weakly compact subset C of X and any nonexpansive mapping T : C→ C, T has at least one fixed point. In this article, we present three recent results using the ultraproduct technique. We also provide some open problems in this area.[Figure not available: see fulltext.].
Arabian Journal of Mathematics
Lin, P. (2012). Fixed point theory and nonexpansive mappings. Arabian Journal of Mathematics, 1 (4), 495-509. https://doi.org/10.1007/s40065-012-0042-1