Generalizations of Mana's iterative algorithm for best proximity points

Document Type : Research Paper

Authors

Department of Mathematices, Ayatollah Boroujerdi University, Boroujerd, Iran

Abstract

The main purpose of this paper is to consider the convergence of iterative algorithms for finding best proximity points for cyclic contractive mappings that is a new extension of the Mann iteration by dropping some additional assumptions.
To this end, the convergence behavior of the new algorithms is compared with a numerical example.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 15, Issue 1 - Serial Number 33
January 2026
Pages 227-238

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History

  • Receive Date: 29 December 2024
  • Revise Date: 22 July 2025
  • Accept Date: 13 August 2025

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