Mixed Type Algorithms for Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

Authors

  • Tanakit Thianwan University of Phayao

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i3.4005

Keywords:

uniformly convex hyperbolic space, strong convergence, common fixed points, mixed type algorithm, asymptotically nonexpansive mapping

Abstract

In this paper, a new mixed type iteration process for approximating a common fixed point of two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings is constructed. We then establish a strong convergence theorem under mild conditions in a uniformly convex hyperbolic space. The results presented here extend and improve some related results in the literature.

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Published

2021-08-05

Issue

Vol. 14 No. 3: (July 2021)

Section

Nonlinear Analysis

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How to Cite

Mixed Type Algorithms for Asymptotically Nonexpansive Mappings in Hyperbolic Spaces. (2021). European Journal of Pure and Applied Mathematics, 14(3), 650-665. https://doi.org/10.29020/nybg.ejpam.v14i3.4005