Homotopic invariance of fixed points in hyperconvex metric spaces (Q1873747)
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scientific article; zbMATH DE number 1917848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homotopic invariance of fixed points in hyperconvex metric spaces |
scientific article; zbMATH DE number 1917848 |
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Homotopic invariance of fixed points in hyperconvex metric spaces (English)
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27 May 2003
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In this paper, some results obtained by \textit{M. Frigon} [Proc. Int. Workshop on Metric Fixed Point Theory, Sevilla 1995, 19-30 (1996; Zbl 0883.47068)] and \textit{B. Sims, H. K. Xu} and \textit{G. X. Z. Yuan} [Fixed point theory and applications, Proc. Int. Conf. Math. Anal. Appl., Chinju, Korea 1998, 113-125 (2000; Zbl 1017.47045)] on invariance under homotopy of fixed points of setvalued contractions and nonexpansive mappings in Banach space are extended to the setting of hyperconvex metric spaces.
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set-valued contraction
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nonexpansive mapping
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fixed point
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hyperconvex metric space
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homotopic invariance
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