A Note on Asymptotic Contractions
<p/> <p>We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space <inline-formula><graphic file="1687-1812-2007-039465-i1.gif"/></inline-formula> to converge to its unique fixed point, uniformly on each bounded s...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2007/039465 |
| Summary: | <p/> <p>We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space <inline-formula><graphic file="1687-1812-2007-039465-i1.gif"/></inline-formula> to converge to its unique fixed point, uniformly on each bounded subset of <inline-formula><graphic file="1687-1812-2007-039465-i2.gif"/></inline-formula>.</p> |
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| ISSN: | 1687-1820 1687-1812 |