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Convergence theorems for a general class of nonexpansive mappings in Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 309، دوره 14، شماره 6، شهریور 2023، صفحه 371-386 اصل مقاله (439.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24114.2672 | ||
| نویسنده | ||
| Seyit Temir* | ||
| Faculty of Arts and Sciences, Adiyaman University, 02040, Adiyaman, Turkey | ||
| تاریخ دریافت: 11 اردیبهشت 1400، تاریخ بازنگری: 12 مرداد 1400، تاریخ پذیرش: 30 مرداد 1400 | ||
| چکیده | ||
| In this paper, we introduce a new iteration process for the approximation of fixed points. We show that our iteration process is faster than the existing iteration processes like the M-iteration process and the K-iteration process for contraction mappings. Also, we prove that the new iteration process is stable. Finally, we study the convergence of a new iterative scheme to a fixed point for the $(\alpha,\beta)$ -Reich-Suzuki nonexpansive type mappings in Banach space. | ||
| کلیدواژهها | ||
| Fixed point؛ convergence؛ Opial’s condition؛ generalized nonexpansive mappings | ||
| مراجع | ||
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