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A modified Thakur’s iteration for noncyclic Suzuki’s relatively nonexpansive mappings with convergence of best proximity pairs

  • Sangkhae Suwansoontorn,
  • Nawitcha Onjai-Uea,
  • Thanyarat Jitpeera,
  • Chirasak Mongkolkeha,
  • Konrawut Khammahawong

摘要

In this paper, we modify the Thakur three-step iterative algorithm and provide sufficient conditions and a useful lemma to ensure the convergence of a best proximity pair for a noncyclic relatively Suzuki’s nonexpansive mapping in uniformly convex Banach spaces. Additionally, we present an example to illustrate the results, accompanied by a numerical simulation for the proposed algorithm.