2010 · 54 citations · 10 references
Natural SciencesMathematicsTopologyConvex GeometryFixed Point TheoryFixed PointsMetric GeometryMetric SpacesComplete Metric SpacesCompletion Of Metric SpacesContraction MappingsContractive MappingsEquivalent MetricsFixed Point PropertyMetric Fixed Point Theory
In this note, we introduce a metric on the cone metric space and then prove that a complete cone metric space is always a complete metric space and verify that a contractive mapping on the cone metric space is a contractive mapping on the metric space. Hence, fixed point theorems
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