Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840962 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 6 Pages |
Abstract
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.
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Authors
N. Hussain, M.A. Khamsi, A. Latif,