Abstract
In this note the converses of recent fixed-point theorems due toKannan andChatterjea are obtained. An example is constructed to show that a metric space having the fixed-point property for homeomorphisms need not be metrically topologically complete. An example ofConnell is formulated in a more general perspective.
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Subrahmanyam, P.V. Completeness and fixed-points. Monatshefte für Mathematik 80, 325–330 (1975). https://doi.org/10.1007/BF01472580
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DOI: https://doi.org/10.1007/BF01472580