Geodesic Ptolemy spaces and fixed points
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Rafa EspΓnola; Adriana Nicolae
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Article
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2011
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Elsevier Science
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English
β 241 KB
In this paper we study the regularity of geodesic Ptolemy spaces and apply our findings to metric fixed point theory. It is an open question whether such spaces with a continuous midpoint map are CAT(0) spaces. We prove that if a certain uniform continuity is imposed on such a midpoint map then thes