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

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  • R. Gopi
  • V. Pragadeeswarar
  • M. De La Sen
  • A. Ghareeb

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.

Suggested Citation

  • R. Gopi & V. Pragadeeswarar & M. De La Sen & A. Ghareeb, 2022. "Thakur’s Iterative Scheme for Approximating Common Fixed Points to a Pair of Relatively Nonexpansive Mappings," Journal of Mathematics, Hindawi, vol. 2022, pages 1-16, April.
    • Handle: RePEc:hin:jjmath:5537768
    DOI: 10.1155/2022/5537768
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