Banach operator pairs and common fixed points in hyperconvex metric spaces
نویسندگان
چکیده
The purpose of this paper is to establish DeMarr’s well-known theorem for an arbitrary family of symmetric Banach operator pairs in hyperconvex metric spaces without the compactness assumption. We also give necessary and sufficient criteria for the existence of a common fixed point of a semigroup of isometric mappings. As an application, several results on the invariant best approximation are proved. © 2011 Elsevier Ltd. All rights reserved.
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تاریخ انتشار 2012