Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps
Throughout this paper, a generic iteration algorithm for a finite family of total asymptotically quasi-nonexpansive maps in uniformly convex Banach space is suggested. As well as weak / strong convergence theorems of this algorithm to a common fixed point are established. Finally, illustrative numer...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2019-09-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3947 |
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| author | Salwa et al. |
| author_facet | Salwa et al. |
| author_sort | Salwa et al. |
| collection | DOAJ |
| description | Throughout this paper, a generic iteration algorithm for a finite family of total asymptotically quasi-nonexpansive maps in uniformly convex Banach space is suggested. As well as weak / strong convergence theorems of this algorithm to a common fixed point are established. Finally, illustrative numerical example by using Matlab is presented. |
| format | Article |
| id | doaj-art-da0b0ea599844ab6b3f1aeaea88ddcc3 |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2019-09-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-da0b0ea599844ab6b3f1aeaea88ddcc32025-08-20T02:51:20ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862019-09-0116310.21123/bsj.16.3.654Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive MapsSalwa et al.Throughout this paper, a generic iteration algorithm for a finite family of total asymptotically quasi-nonexpansive maps in uniformly convex Banach space is suggested. As well as weak / strong convergence theorems of this algorithm to a common fixed point are established. Finally, illustrative numerical example by using Matlab is presented.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3947Banach space, Common fixed points, Strong convergence, Total asymptotically quasi-nonexpansive map, Weak convergence. |
| spellingShingle | Salwa et al. Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps مجلة بغداد للعلوم Banach space, Common fixed points, Strong convergence, Total asymptotically quasi-nonexpansive map, Weak convergence. |
| title | Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps |
| title_full | Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps |
| title_fullStr | Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps |
| title_full_unstemmed | Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps |
| title_short | Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps |
| title_sort | common fixed point of a finite step iteration algorithm under total asymptotically quasi nonexpansive maps |
| topic | Banach space, Common fixed points, Strong convergence, Total asymptotically quasi-nonexpansive map, Weak convergence. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3947 |
| work_keys_str_mv | AT salwaetal commonfixedpointofafinitestepiterationalgorithmundertotalasymptoticallyquasinonexpansivemaps |