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- W2023137114 abstract "Abstract Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. In this work we take up a number of questions about hyperconvexity, diversities and fixed points of nonexpansive mappings. Most of these questions are motivated by the study of the connection between a hyperconvex diversity and its induced metric space for which we provide some answers. Examples are given, for instance, showing that such a metric space need not be hyperconvex but still we prove, as our main result, that they enjoy the fixed point property for nonexpansive mappings provided the diversity is bounded and that this boundedness condition cannot be transferred from the diversity to the induced metric space." @default.
- W2023137114 created "2016-06-24" @default.
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- W2023137114 date "2014-01-01" @default.
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- W2023137114 title "Diversities, hyperconvexity and fixed points" @default.
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- W2023137114 doi "https://doi.org/10.1016/j.na.2013.09.005" @default.
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