Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SOME GENERAL CONVERGENCE PRINCIPLES WITH APPLICATIONS

  • Zhou, H.Y. (Department of Mathematics, Shijiazhuang Mechanical Engineering College) ;
  • Gao, G.L. (Department of Mathematics, Shijiazhuang Mechanical Engineering College) ;
  • Guo, G.T. (Department of Mathematics, Huabei Petroleum Education College) ;
  • Cho, Y.J. (Department of Mathematics Education, College of Education, Gyeongsang National University)
  • Published : 2003.08.01
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Abstract

In the present paper, some general convergence principles are established in metric spaces and then theses principles are applied to the convergence of the iterative sequences for approximating fixed points of certain classes of mappings. By virtue of our principles, most of the latest results obtained by several authors can be deduced easily.

Keywords

References

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  2. A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings” vol.2009, 2009, https://doi.org/10.1155/2009/283461
  3. CONVERGENCE THEOREMS FOR GENERALIZED I-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN A HADAMARD SPACES vol.31, pp.3, 2016, https://doi.org/10.4134/CKMS.c150167
  4. Convergence of three-step iterations for asymptotically nonexpansive mappings vol.187, pp.2, 2007, https://doi.org/10.1016/j.amc.2006.09.008
  5. Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings vol.47, pp.4-5, 2004, https://doi.org/10.1016/S0898-1221(04)90058-2