Weak Contractions, Common Fixed Points, and Invariant Approximations
<p/> <p>The existence of common fixed points is established for the mappings, where <inline-formula> <graphic file="1029-242X-2009-390634-i1.gif"/></inline-formula> is <inline-formula> <graphic file="1029-242X-2009-390634-i2.gif"/></in...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/390634 |
| Summary: | <p/> <p>The existence of common fixed points is established for the mappings, where <inline-formula> <graphic file="1029-242X-2009-390634-i1.gif"/></inline-formula> is <inline-formula> <graphic file="1029-242X-2009-390634-i2.gif"/></inline-formula>-weak contraction on a nonempty subset of a Banach space. As application, some results on the invariant best approximation are proved. Our results unify and substantially improve several recent results given by some authors.</p> |
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| ISSN: | 1025-5834 1029-242X |