A new iteration process for approximation of fixed points of mean nonexpansive mappings in CAT(0) spaces
In this paper, we introduce a new iterative algorithm for approximating fixed points of mean nonexpansive mappings in CAT(0) spaces. We prove a -convergence theorem under suitable conditions. The result we obtain improves and extends several recent results stated by many others; they also complement...
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| Veröffentlicht in: | Cogent mathematics 2017-01, Vol.4 (1), p.1396642 |
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| creator | Rastgoo, M. Abkar, A. |
| description | In this paper, we introduce a new iterative algorithm for approximating fixed points of mean nonexpansive mappings in CAT(0) spaces. We prove a
-convergence theorem under suitable conditions. The result we obtain improves and extends several recent results stated by many others; they also complement many known recent results in the literature. We then provide some numerical examples to illustrate our main result and to display the efficiency of the proposed algorithm. |
| doi_str_mv | 10.1080/23311835.2017.1396642 |
| format | Article |
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| ispartof | Cogent mathematics, 2017-01, Vol.4 (1), p.1396642 |
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| source | Taylor & Francis Open Access Journals |
| subjects | 47H09 47H10 CAT space convergence fixed point iterative algorithm Iterative algorithms Iterative methods mean nonexpansive mapping |
| title | A new iteration process for approximation of fixed points of mean nonexpansive mappings in CAT(0) spaces |
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