Completeness and fixed-points |
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Authors: | P V Subrahmanyam |
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Institution: | 1. Department of Mathematics, Indian Institute of Technology, 600 036, Madras, India
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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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