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Convergence of Panigrahy iteration process for Suzuki generalized nonexpansive mapping in uniformly convex Banach space | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 1، شهریور 2024، صفحه 94-108 اصل مقاله (284.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.14426.1005 | ||
| نویسندگان | ||
| Omprash Sahu* 1؛ Amitabh Banerjee2 | ||
| 1Department of Mathematics, Babu Pandhri Rao Kridatt Govt. College Silouti, Dhamtari | ||
| 2Principal, Govt. J. Y. Chhattisgarh College Raipur | ||
| چکیده | ||
| In this paper, we establish strong and weak convergence theorems for Suzuki's generalized nonexpansive mapping in uniformly convex Banach spaces using the iterative scheme introduced by Panigrahy et al [9]. Next, we see an example of Suzuki's generalized nonexpansive mapping, which is not a nonexpansive mapping. Using this example and some numerical tests, we infer empirically that the Panigrahy iteration process converges faster than the Krasnoselskij, Thakur, and M-iteration processes. | ||
| کلیدواژه‌ها | ||
| Fixed Point؛ Uniformly convex Banach space؛ Suzuki generalized nonexpansive mapping؛ Panigrahy iteration؛ Convergence Theorem | ||
| مراجع | ||
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