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Convergence theorems of new three-step iterations scheme for $I$-asymptotically nonexpansive mappings | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 149، دوره 13، شماره 2، مهر 2022، صفحه 1849-1863 اصل مقاله (389.25 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22022.2316 | ||
نویسنده | ||
Seyit Temir* | ||
Department of Mathematics, Art and Science Faculty, Ad\i yaman University, 02040, Ad\i yaman, Turkey | ||
تاریخ دریافت: 15 آذر 1399، تاریخ بازنگری: 30 آذر 1399، تاریخ پذیرش: 23 فروردین 1400 | ||
چکیده | ||
Abstract. The purpose of this paper is to establish weak and strong convergence theorems of new three-step iterations for I-asymptotically nonexpansive mappings in Banach space.Also we introduce and study convergence theorems of the three-step iterative sequence for three I-asymptotically nonexpansive mappings in an uniformly convex Banach space. The results obtained in this paper extend and improve the recent ones announced by Chen and Guo [1], S. Temir [14], Yao and Noor[16] and many others. | ||
کلیدواژهها | ||
I-Asymptotically nonexpansive؛ common fixed point؛ iteration process؛ convergence theorems | ||
مراجع | ||
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