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 | ||
| 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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