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Let be a hyperconvex normed space.
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Let be a hyperconvex metric space.
[3] Let H be a hyperconvex metric space.
Let be a hyperconvex metric space, and be two nonempty subsets of such that.
But a CAT ( 0 ) space may not be a hyperconvex, indeed a CAT ( 0 ) space is a hyperconvex space if and only if it is a complete ℝ-tree (see Kirk [22] and the references therein).
Let H be a hyperconvex metric space and S, T : H → H be a weak compatible pair.
Let H be a hyperconvex metric space and let S and T be continuous self-maps of H such that PC ( S, T ) - is compact.
Let H be a hyperconvex metric space and S, T : H → H be a continuous R-pair such that T ( H ) - is compact.
Since is a hyperconvex metric space, and since, it follows from Proposition of [5] that is a hyperconvex metric space too.
Let H be a compact hyperconvex metric space.
□ Let ‖ · ‖ be a matrix norm corresponding to a vector norm.
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