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

R. Gopi, V. Pragadeeswarar, M. De La Sen and A. Ghareeb

Journal of Mathematics, 2022, vol. 2022, 1-16

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5537768

DOI: 10.1155/2022/5537768

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