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Fixed-Point Approximations of Generalized Nonexpansive Mappings via Generalized M-Iteration Process in Hyperbolic Spaces

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  • Preeyalak Chuadchawna
  • Ali Farajzadeh
  • Anchalee Kaewcharoen

Abstract

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 - convergence and strong convergence theorems for the class of mappings satisfying the condition and the condition 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.

Suggested Citation

  • Preeyalak Chuadchawna & Ali Farajzadeh & Anchalee Kaewcharoen, 2020. "Fixed-Point Approximations of Generalized Nonexpansive Mappings via Generalized M-Iteration Process in Hyperbolic Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-8, May.
    • Handle: RePEc:hin:jijmms:6435043
    DOI: 10.1155/2020/6435043
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