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Thakur’s Iterative Scheme for Approximating Common Fixed Points to a Pair of Relatively Nonexpansive Mappings
- Source :
- Journal of Mathematics, Vol 2022 (2022)
- Publication Year :
- 2022
- Publisher :
- Hindawi Limited, 2022.
-
Abstract
- In this work, we propose the three-step Thakur iterative process associated with two mappings in the setting of Banach space. Using this Thakur iteration, we approximate a common fixed point for a pair of noncyclic, relatively nonexpansive mappings. And we support our main result with a numerical example. Also, we give a stronger version of our main result by using von Neumann sequences. Finally, we provide some corollaries on the convergence of common best proximity points in uniformly convex Banach space.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 23144785
- Volume :
- 2022
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.39b188709c0b4f1ea42e15df517ec0e7
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2022/5537768