On the approximation of fixed points for the class of mappings satisfying $(CSC)$-condition in Hadamard spaces

Authors

  • A. Şahin Department of Mathematics, Sakarya University, 54050, Serdivan, Sakarya, Turkey
  • O. Alagöz Department of Mathematics, Bilecik Şeyh Edebali University, 11200, Bilecik, Turkey https://orcid.org/0000-0002-0587-460X
https://doi.org/10.15330/cmp.15.2.495-506

Keywords:

$\triangle $-convergence, strong convergence, fixed point, CAT$(0)$ space, $JF$-iteration process, $(CSC)$-condition
Published online: 2023-12-10

Abstract

In this paper, we consider the class of mappings satisfying $(CSC)$-condition. Further, we prove the strong and $\triangle$-convergence theorems of the $JF$-iteration process for this class of mappings in Hadamard spaces. At the end, we give a numerical example to show that the $JF$-iteration process is faster than some well known iterative processes. Our results improve and extend the corresponding recent results of the current literature.

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How to Cite
(1)
Şahin, A.; Alagöz, O. On the Approximation of Fixed Points for the Class of Mappings Satisfying $(CSC)$-Condition in Hadamard Spaces. Carpathian Math. Publ. 2023, 15, 495-506.