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Priess-Crampe, Sibylla (2016): Reaching fixed points as limits in subspaces. In: Journal of Geometry, Vol. 107, No. 2: pp. 387-402

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A strictly contracting mapping of a spherically complete ultrametric space has a unique fixed point. In general, the fixed point can be approached by a pseudo-convergent family. It will be discussed, when this family can be cut in such a way that the fixed point is the limit of the reduced family in an appropriate subspace. The more difficult part of the paper is the transfer of these results to valued fields.

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