Numerical reckoning fixed points via new faster iteration process

• Ullah, Kifayat ^[1] ; Ahmad, Junaid ^[2] ; Khan, Fida Muhammad ^[1]
  1. [1] University of Science and Technology

     University of Science and Technology

     Yemen

     
  2. [2] International Islamic University

     International Islamic University

     Pakistán

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 1, 2022, págs. 213-223
• Idioma: inglés
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• Resumen

  • In this paper, we propose a new iteration process which is faster than the leading S [J. Nonlinear Convex Anal. 8, no. 1 (2007), 61-79], Thakur et al. [App. Math. Comp. 275 (2016), 147-155] and M [Filomat 32, no. 1 (2018), 187-196] iterations for numerical reckoning fixed points. Using new iteration process, some fixed point convergence results for generalized α-nonexpansive mappings in the setting of uniformly convex Banach spaces are proved. At the end of paper, we offer a numerical example to compare the rate of convergence of the proposed iteration process with the leading iteration processes.