Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 41، دوره 13، شماره 2، مهر 2022، صفحه 459-471 اصل مقاله (397.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.21806.2297 | ||
| نویسندگان | ||
| Jeremiah N Ezeora1؛ Chinedu Izuchukwu2؛ Akindele Adebayo Mebawondu2؛ Oluwatosin Temitope Mewomo* 2 | ||
| 1Department of Mathematics and Statistics, University of Port Harcourt, Nigeria | ||
| 2School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa | ||
| چکیده | ||
| In this paper, we prove some fixed points properties and demiclosedness principle for mean nonexpansive mapping in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a common fixed point of two mean nonexpansive mappings and establish some strong and $\bigtriangleup$-convergence theorems for these mappings in uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results in uniformly convex Banach spaces, CAT(0) spaces and other related results in literature. | ||
| کلیدواژهها | ||
| Mean nonexpansive mappings؛ uniformly convex hyperbolic spaces؛ strong and $bigtriangleup$-convergence theorem؛ three step iteration | ||
| مراجع | ||
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