Some convergence results using K∗ iteration process in CAT(0) spaces

Kifayat Ullah; Dong Yun Shin; Choonkil Park; Bakhat Ayaz Khan

Some convergence results using K∗ iteration process in CAT(0) spaces

Authors

Kifayat Ullah Department of Mathematics, University of Science and Technology, Township Campus, 44000, Bannu, Pakista https://orcid.org/0009-0005-3174-762X
Dong Yun Shin Department of Mathematics, University of Seoul, Seoul 02504, Korea https://orcid.org/0009-0005-3174-762X
Choonkil Park Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea https://orcid.org/0009-0005-3174-762X
Bakhat Ayaz Khan University of Science and Technology, Township Campus, 44000, Bannu, Pakistan https://orcid.org/0009-0005-3174-762X

Keywords:

Suzuki generalized nonexpansive mapping; CAT(0) space; K∗ iterative process; ∆-convergence; strong convergence.

Abstract

In this paper, some strong and ∆-convergence results for Suzuki generalized nonexpansive mappings in the setting of complete
CAT(0) spaces are proved. We are using newly introduced K∗ iteration process for approximation of fixed point. We also give an example to show the efficiency of the K∗ iteration process. Our results are extension, improvement and generalization of many well known results in the literature of fixed point theory in CAT(0) spaces.

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Published

2021-08-15

How to Cite

Kifayat Ullah, Dong Yun Shin, Choonkil Park, & Bakhat Ayaz Khan. (2021). Some convergence results using K∗ iteration process in CAT(0) spaces. Journal of Computational Analysis and Applications (JoCAAA), 29(4), 668–681. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/180