Approximating Fixed Points by a Two-Step Iterative Algorithm

Main Author: Safeer Hussain Khan
Format: Article
Bahasa: eng
Terbitan: , 2014
Online Access: https://zenodo.org/record/2663367
Daftar Isi:
  • In this paper, we introduce a two-step iterative algorithm to prove a strong convergence result for approximating common fixed points of three contractive-like operators. Our algorithm basically generalizes an existing algorithm..Our iterative algorithm also contains two famous iterative algorithms: Mann iterative algorithm and Ishikawa iterative algorithm. Thus our result generalizes the corresponding results proved for the above three iterative algorithms to a class of more general operators. At the end, we remark that nothing prevents us to extend our result to the case of the iterative algorithm with error terms.