On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings
<p/> <p>Let <inline-formula><graphic file="1687-1812-2006-96737-i2.gif"/></inline-formula> be a closed subset of a Banach space and <inline-formula><graphic file="1687-1812-2006-96737-i3.gif"/></inline-formula> an ultimately nonexpa...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2006/96737 |
| Summary: | <p/> <p>Let <inline-formula><graphic file="1687-1812-2006-96737-i2.gif"/></inline-formula> be a closed subset of a Banach space and <inline-formula><graphic file="1687-1812-2006-96737-i3.gif"/></inline-formula> an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the <inline-formula><graphic file="1687-1812-2006-96737-i4.gif"/></inline-formula>-closure of <inline-formula><graphic file="1687-1812-2006-96737-i5.gif"/></inline-formula> is nonempty, then the closure of the orbit of any <inline-formula><graphic file="1687-1812-2006-96737-i6.gif"/></inline-formula>-closure point is a commutative topological group.</p> |
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| ISSN: | 1687-1820 1687-1812 |