Closed mappings on complete metric spaces
R. Engelking (1971)
Fundamenta Mathematicae
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R. Engelking (1971)
Fundamenta Mathematicae
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Barada Ray (1976)
Fundamenta Mathematicae
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Maria Moszyńska (1977)
Fundamenta Mathematicae
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Fredrick Stevenson, W. Thorn (1969)
Fundamenta Mathematicae
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Jiří Matoušek (1990)
Commentationes Mathematicae Universitatis Carolinae
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Stephen Dancs (1989)
Czechoslovak Mathematical Journal
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K. Leśniak (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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The Lifshits theorem states that any k-uniformly Lipschitz map with a bounded orbit on a complete metric space X has a fixed point provided k < ϰ(X) where ϰ(X) is the so-called Lifshits constant of X. For many spaces we have ϰ(X) > 1. It is interesting whether we can use the Lifshits theorem in the theory of iterated function systems. Therefore we investigate the value of the Lifshits constant for several classes of hyperspaces.