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

Preeyalak Chuadchawna, Ali Farajzadeh and Anchalee Kaewcharoen

International Journal of Mathematics and Mathematical Sciences, 2020, vol. 2020, 1-8

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:6435043

DOI: 10.1155/2020/6435043

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