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Convergence of the S-iteration process for the multi-valued generalized $( \alpha -\beta )$-nonexpansive mappings in Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 157، دوره 14، شماره 1، فروردین 2023، صفحه 2007-2018 اصل مقاله (377.67 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25721.3107 | ||
| نویسنده | ||
| Nazlı Karaca* | ||
| Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey | ||
| تاریخ دریافت: 12 دی 1400، تاریخ بازنگری: 02 آذر 1401، تاریخ پذیرش: 05 آذر 1401 | ||
| چکیده | ||
| In this work, we first introduce the modified S-iteration method to approximate common fixed points of three multi-valued generalized $( \alpha -\beta )$-nonexpansive mappings in the setting of Banach spaces. Then we prove some convergence theorems for these mappings by using it. Also, a numerical example is given to illustrate the main results. Furthermore, we introduce a one-step iterative process for generalized $( \alpha -\beta )$-nonexpansive mappings and we prove strong convergence results for the one-step iterative process involving such mappings. Thus our results extend and generalise corresponding results in the contemporary literature. | ||
| کلیدواژهها | ||
| fixed point؛ multi-valued generalized (α-β)-nonexpansive mappings؛ uniformly convex Banach space | ||
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