Abstract.
In this article we prove a new fixed point theorem for hyperconvex metric spaces. The significance of our result will be clarified by suitable examples and a comparison with earlier fixed point theorems for hyperconvex spaces. In particular, we prove that the space \(\Bbb R^n\) with the metric “river” or with the radial metric is hyperconvex.
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Received: 10.3.1999
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Bugajewski, D., Grzelaczyk, E. A fixed point theorem in hyperconvex spaces. Arch. Math. 75, 395–400 (2000). https://doi.org/10.1007/s000130050521
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DOI: https://doi.org/10.1007/s000130050521