Remarks on asymptotically nonexpansive mappings
It is known that the uniform convexity in every direction implies the existence of fixed points for a nonexpansive mapping \(T:C\to C\) if \(C\) is assumed to be weakly compact. It is still an open problem whether this is true for asymptotically nonexpansive mappings. The purpose of the paper is to present a partial answer to this question.
scientific article; zbMATH DE number 1462152