Artículo
Diversities, hyperconvexity and fixed points
Autor/es | Piatek, Bozena
Espínola García, Rafael |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2014-01 |
Fecha de depósito | 2016-07-01 |
Publicado en |
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Resumen | 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 ... 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. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía |
Identificador del proyecto | MTM2009-10696-C02-01
MTM2012-34847C02-01 FQM-127 |
Cita | Piatek, B. y Espínola García, R. (2014). Diversities, hyperconvexity and fixed points. Nonlinear Analysis: Theory, Methods & Applications, 95, 229-245. |
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