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Volume 10
Issue 21
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Article

Approximating Common Fixed Points of Nonexpansive Mappings on Hadamard Manifolds with Applications

by
Konrawut Khammahawong
1,
Parin Chaipunya
2 and
Kamonrat Sombut
1,*
1
Applied Mathematics for Science and Engineering Research Unit (AMSERU), Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Pathum Thani 12110, Thailand
2
NCAO Research Center, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(21), 4080; https://doi.org/10.3390/math10214080
Submission received: 22 September 2022 / Revised: 12 October 2022 / Accepted: 26 October 2022 / Published: 2 November 2022
(This article belongs to the Special Issue New Trends in Nonlinear Analysis)
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Abstract

The point of this research is to present a new iterative procedure for approximating common fixed points of nonexpansive mappings in Hadamard manifolds. The convergence theorem of the proposed method is discussed under certain conditions. For the sake of clarity, we provide some numerical examples to support our results. Furthermore, we apply the suggested approach to solve inclusion problems and convex feasibility problems.
Keywords: fixed point; Hadamard manifold; iterative algorithm; nonexpansive mapping fixed point; Hadamard manifold; iterative algorithm; nonexpansive mapping

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MDPI and ACS Style

Khammahawong, K.; Chaipunya, P.; Sombut, K. Approximating Common Fixed Points of Nonexpansive Mappings on Hadamard Manifolds with Applications. Mathematics 2022, 10, 4080. https://doi.org/10.3390/math10214080

AMA Style

Khammahawong K, Chaipunya P, Sombut K. Approximating Common Fixed Points of Nonexpansive Mappings on Hadamard Manifolds with Applications. Mathematics. 2022; 10(21):4080. https://doi.org/10.3390/math10214080

Chicago/Turabian Style

Khammahawong, Konrawut, Parin Chaipunya, and Kamonrat Sombut. 2022. "Approximating Common Fixed Points of Nonexpansive Mappings on Hadamard Manifolds with Applications" Mathematics 10, no. 21: 4080. https://doi.org/10.3390/math10214080

APA Style

Khammahawong, K., Chaipunya, P., & Sombut, K. (2022). Approximating Common Fixed Points of Nonexpansive Mappings on Hadamard Manifolds with Applications. Mathematics, 10(21), 4080. https://doi.org/10.3390/math10214080

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