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Thakur’s Iterative Scheme for Approximating Common Fixed Points to a Pair of Relatively Nonexpansive Mappings

Authors :
R. Gopi
V. Pragadeeswarar
M. De La Sen
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

Subjects :
Mathematics
QA1-939

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