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Common fixed points for hybrid pair of generalized non-expensive mappings by a three-step iterative scheme | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 15، شماره 3، خرداد 2024، صفحه 91-102 اصل مقاله (375.29 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.21245.3444 | ||
| نویسندگان | ||
| Fayyaz Rouzkard* 1؛ Mohammad Imdad2 | ||
| 1Department of Mathematics, Farhangian University, Tehran, Iran | ||
| 2Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India | ||
| تاریخ دریافت: 28 فروردین 1401، تاریخ پذیرش: 23 شهریور 1401 | ||
| چکیده | ||
| In this paper, we introduce a three-step iterative scheme, called the MF-iteration process to approximate a common fixed point for a hybrid pair $\{\tau, T\}$ of single-valued and multi-valued maps satisfying a generalized contractive condition defined on uniformly convex Banach spaces. We establish the strong convergence theorem for the proposed process under some basic boundary conditions. We give a numerical example to prove our results' convergence rate. Further, we compare the convergence speed of Sokhuma and Kaewkhao [29] and MF-iterations. we show numerically that the considered iterative scheme converges faster than Sokhuma and Kaewkhao [29] for single-valued and multi-valued non-expansive mappings. Our newly proven results generalize several relevant results in the literature. | ||
| کلیدواژه‌ها | ||
| uniformly convex Banach spaces؛ Suzuki's Generalized Non-Expansive؛ Three-step iterative scheme؛ Common fixed point | ||
| مراجع | ||
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