ASYMPTOTIC PROPERTIES OF NONEXPANSIVE SEQUENCES IN BANACH SPACES
Jong An Park, Yang Seob Park · Korean Journal of Mathematics · 2000
B.Djafari Rouhani and W.A.Kirk [3] proved the following theorem: Let Xbe a reflexive Banach space and be a nonexpansive (resp., firmly nonexpansive )sequence in X. Then the set of weak -limit points of the sequence (resp., ) always lies on a convex subset of a sphere centered at the origin of radius . In this paper we show that the above theorem for nonexpansive(resp., firmly nonexpansive) sequences holds in a general Banach space(resp., a strictly convex dual ).