A one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space

被引:0
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作者
Hafiz Fukhar-ud-din
Amna Kalsoom
Safeer H Khan
机构
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[2] International Islamic University,Department of Mathematics and Statistics
[3] Qatar University,Department of Mathematics, Statistics and Physics
关键词
uniformly convex hyperbolic space; asymptotically nonexpansive mapping; common fixed point; strong convergence; 47H09; 47H10;
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摘要
We introduce a one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space and use it to approximate common fixed points of these families. The results presented in this paper are new in the setting of hyperbolic spaces. On top, these are generalizations of several results in literature from Banach spaces to hyperbolic spaces. At the end of the paper, we give an example to validate our results.
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页码:274 / 286
页数:12
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