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

Hafiz Fukhar-ud-din; Amna Kalsoom; Safeer H Khan

doi:10.1007/s11766-018-3370-x

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

Hafiz Fukhar-ud-din
, Amna Kalsoom
, Safeer H Khan

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	274-286
Number of pages	13
Journal	Applied Mathematics
Volume	33
Issue number	3
DOIs	https://doi.org/10.1007/s11766-018-3370-x
State	Published - Sep 1 2018

Keywords

47H09
47H10
asymptotically nonexpansive mapping
common fixed point
strong convergence
uniformly convex hyperbolic space

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10.1007/s11766-018-3370-x

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AB - 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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KW - uniformly convex hyperbolic space

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

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Keywords

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