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Approximation of common fixed points of a finite family of total asymptotically demicontraction semigroup | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 42، دوره 14، شماره 1، فروردین 2023، صفحه 541-555 اصل مقاله (423.1 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23840.2621 | ||
| نویسندگان | ||
| Austine Efut Ofem* 1؛ Donatus Ikechi Igbokwe2 | ||
| 1Department of Mathematics, University of Uyo, Uyo, Nigeria | ||
| 2Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria | ||
| تاریخ دریافت: 11 اردیبهشت 1400، تاریخ بازنگری: 10 تیر 1400، تاریخ پذیرش: 19 تیر 1400 | ||
| چکیده | ||
| The purpose of this article is to introduce an implicit iterative algorithm which contains several well known existing iterative methods. We study the strong convergence of the proposed iteration process to the common fixed points of a finite family of uniformly L-Lipschitzian total asymptotically demicontraction semigroup in Banach spaces. The results presented in this article extend, generalize, unify and improve the corresponding results of several authors in the existing literature. | ||
| کلیدواژهها | ||
| Fixed points؛ normalized duality mapping؛ implicit iterative scheme؛ Banach space؛ total asymptotically demicontractive semigroup؛ strong convergence | ||
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