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  • 标题:Fixed-Point Approximations of Generalized Nonexpansive Mappings via Generalized M-Iteration Process in Hyperbolic Spaces
  • 本地全文:下载
  • 作者:Preeyalak Chuadchawna ; Ali Farajzadeh ; Anchalee Kaewcharoen
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2020
  • 卷号:2020
  • 页码:1-8
  • DOI:10.1155/2020/6435043
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we propose the generalized M-iteration process for approximating the fixed points from Banach spaces to hyperbolic spaces. Using our new iteration process, we prove Δ -convergence and strong convergence theorems for the class of mappings satisfying the condition C λ and the condition E which is the generalization of Suzuki generalized nonexpansive mappings in the setting of hyperbolic spaces. Moreover, a numerical example is given to present the capability of our iteration process and the solution of the integral equation is also illustrated using our main result.
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