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Asymptotic centres of filters on uniformly rotund spaces
Bulletin of the Australian Mathematical Society
The notion of asymptotic centre of a bounded sequence of points in a uniformly convex Banach space was introduced by Edelstein in order to prove, in a quasi-constructive way, fixed point theorems for nonexpansive and similar maps. Similar theorems have also been proved by, for example, adding a compactness hypothesis to the restrictions on the domain of the maps. In such proofs, which are generally less constructive, it may be possible to weaken the uniform convexity hypothesis. In this paperdoi:10.1017/s0004972700036790 fatcat:ovspsjzsofgshhrwgq5ormasvi