Common Fixed Points, Invariant Approximation and Generalized Weak Contractions
Sufficient conditions for the existence of a common fixed point of generalized -weakly contractive noncommuting mappings are derived. As applications, some results on the set of best approximation for this class of mappings are obtained. The proved results generalize and extend various known results...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/102980 |
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| _version_ | 1832555943709114368 |
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| author | Sumit Chandok |
| author_facet | Sumit Chandok |
| author_sort | Sumit Chandok |
| collection | DOAJ |
| description | Sufficient conditions for the existence of a common fixed point of generalized -weakly contractive noncommuting mappings are derived. As applications, some results on the set of best approximation for this class of mappings are obtained. The proved results generalize and extend various known results in the literature. |
| format | Article |
| id | doaj-art-aaeb7c7e22794428acc028b12f93267d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-aaeb7c7e22794428acc028b12f93267d2025-02-03T05:46:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/102980102980Common Fixed Points, Invariant Approximation and Generalized Weak ContractionsSumit Chandok0Department of Mathematics, Khalsa College of Engineering & Technology (Punjab Technical University), Ranjit Avenue, Amritsar-143001, IndiaSufficient conditions for the existence of a common fixed point of generalized -weakly contractive noncommuting mappings are derived. As applications, some results on the set of best approximation for this class of mappings are obtained. The proved results generalize and extend various known results in the literature.http://dx.doi.org/10.1155/2012/102980 |
| spellingShingle | Sumit Chandok Common Fixed Points, Invariant Approximation and Generalized Weak Contractions International Journal of Mathematics and Mathematical Sciences |
| title | Common Fixed Points, Invariant Approximation and Generalized Weak Contractions |
| title_full | Common Fixed Points, Invariant Approximation and Generalized Weak Contractions |
| title_fullStr | Common Fixed Points, Invariant Approximation and Generalized Weak Contractions |
| title_full_unstemmed | Common Fixed Points, Invariant Approximation and Generalized Weak Contractions |
| title_short | Common Fixed Points, Invariant Approximation and Generalized Weak Contractions |
| title_sort | common fixed points invariant approximation and generalized weak contractions |
| url | http://dx.doi.org/10.1155/2012/102980 |
| work_keys_str_mv | AT sumitchandok commonfixedpointsinvariantapproximationandgeneralizedweakcontractions |