Strong Convergence Theorems for Two Relatively Asymptotically Nonexpansive Mappings in Banach Spaces

نویسندگان

  • Kriengsak Wattanawitoon
  • Usa Humphries
  • Poom Kumam
  • P. Kumam
چکیده

In this paper, we prove a strong convergence theorem of modified Ishikawa iteration processes by the new hybrid iterative method introduced by Takahashi et al. (2008) for two relatively asymptotically nonexpansive mappings in Banach spaces under some appropriate conditions. Furthermore, our result improves and generalizes the corresponding results announced by many others. The project was supported by the Centre of Excellence in Mathematics, under the Commission on Higher Education, Ministry of Education, Thailand. Corresponding author: email [email protected] 1720 K. Wattanawitoon, U. Humphries and P. Kumam Mathematics Subject Classification: 46C05, 47D03, 47H09, 47H10, 47H20

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تاریخ انتشار 2011