Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces
<p/> <p>We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequence...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2009/891965 |
| _version_ | 1818739282982993920 |
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| author | You-xian Tian Chun-de Yang |
| author_facet | You-xian Tian Chun-de Yang |
| author_sort | You-xian Tian |
| collection | DOAJ |
| description | <p/> <p>We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequences involving a finite family of uniformly quasi-Lipschitzian mappings. The results presented in this paper extend, improve and unify some main results in previous work.</p> |
| first_indexed | 2024-12-18T01:22:22Z |
| format | Article |
| id | doaj.art-2489f14734ea4e0caf98f740049f2233 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-18T01:22:22Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-2489f14734ea4e0caf98f740049f22332022-12-21T21:25:47ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-0120091891965Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric SpacesYou-xian TianChun-de Yang<p/> <p>We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequences involving a finite family of uniformly quasi-Lipschitzian mappings. The results presented in this paper extend, improve and unify some main results in previous work.</p>http://www.fixedpointtheoryandapplications.com/content/2009/891965 |
| spellingShingle | You-xian Tian Chun-de Yang Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces Fixed Point Theory and Applications |
| title | Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces |
| title_full | Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces |
| title_fullStr | Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces |
| title_full_unstemmed | Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces |
| title_short | Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces |
| title_sort | convergence theorems of three step iterative scheme for a finite family of uniformly quasi lipschitzian mappings in convex metric spaces |
| url | http://www.fixedpointtheoryandapplications.com/content/2009/891965 |
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