Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces
In this paper, we study hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach spaces. Also we establish some strong convergence...
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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2015-05-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/506 |
| _version_ | 1818909703518814208 |
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| author | G. S. Saluja |
| author_facet | G. S. Saluja |
| author_sort | G. S. Saluja |
| collection | DOAJ |
| description | In this paper, we study hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for the iteration scheme and mappings. The results presented in this paper extend, improve and generalize some previous work from the existing literature. |
| first_indexed | 2024-12-19T22:31:08Z |
| format | Article |
| id | doaj.art-79b4adea7c0e4f6abea2fb52e6813494 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-19T22:31:08Z |
| publishDate | 2015-05-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-79b4adea7c0e4f6abea2fb52e68134942022-12-21T20:03:21ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392015-05-01816978129Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach SpacesG. S. Saluja0Govt.N.P.G.College of Science, Raipur (C.G.), India.In this paper, we study hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for the iteration scheme and mappings. The results presented in this paper extend, improve and generalize some previous work from the existing literature.http://etamaths.com/index.php/ijaa/article/view/506 |
| spellingShingle | G. S. Saluja Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces International Journal of Analysis and Applications |
| title | Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces |
| title_full | Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces |
| title_fullStr | Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces |
| title_full_unstemmed | Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces |
| title_short | Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces |
| title_sort | convergence of hybrid fixed point for a pair of nonlinear mappings in banach spaces |
| url | http://etamaths.com/index.php/ijaa/article/view/506 |
| work_keys_str_mv | AT gssaluja convergenceofhybridfixedpointforapairofnonlinearmappingsinbanachspaces |