Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
<p/> <p>We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings. We consider the case of metric spaces and, in particular, CAT<inline-f...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/458265 |
| Summary: | <p/> <p>We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings. We consider the case of metric spaces and, in particular, CAT<inline-formula> <graphic file="1687-1812-2010-458265-i1.gif"/></inline-formula> spaces. We also study the well-posedness of these fixed point problems.</p> |
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| ISSN: | 1687-1820 1687-1812 |