Common fixed point theorems for semigroups on metric spaces (Q1301929)

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scientific article; zbMATH DE number 1334838
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Common fixed point theorems for semigroups on metric spaces
scientific article; zbMATH DE number 1334838

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    Common fixed point theorems for semigroups on metric spaces (English)
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    12 September 1999
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    The authors prove two main theorems about common fixed points for contractions and for Lipschitzian mappings. The first one shows the result for a left reversible semigroup of selfmaps on a complete metric space. The second result is a common fixed point theorem for a left reversible uniformly Lipschitzian semigroup of selfmaps on a bounded hyperconvex metric space.
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    upper semicontinuous
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    common fixed points for contractions
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    Lipschitzian mappings
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    left reversible semigroup
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    bounded hyperconvex metric space
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