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arxiv: 1611.04087 · v1 · pith:S54NMJDRnew · submitted 2016-11-13 · 🧮 math.FA

Fixed points of left reversible semigroup of isometry mappings in Banach spaces

classification 🧮 math.FA
keywords existencefixedisometryleftmappingsreversiblesemigroupbanach
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In this paper, we prove the existence of a common fixed point in $C(K)$, the Chebyshev center of K, for a left reversible semigroup of isometry mappings. This existence result improves the results obtained by Lim et al. and Brodskii and Milman.

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