A Common Fixed Point of Ishikawa Iteration with Errors for Two Quasi-nonexpansive Multi-valued Maps in Banach Spaces

Abstract

In this paper, we introduce a new two-step iterative scheme with errors for finding a common fixed points of two quasi-nonexpansive multivalued maps in Banach spaces. We prove a strong convergence theorem of the purposed algorithm under some control conditions. The results obtained in this paper improve and extend the corresponding one announced by Shahzad and Zegeye [N. Shahzad, H. Zegeye, On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces, Nonlinear Analysis 71 (2009) 838844.].

Cite this paper

@inproceedings{Yamazaki2011ACF, title={A Common Fixed Point of Ishikawa Iteration with Errors for Two Quasi-nonexpansive Multi-valued Maps in Banach Spaces}, author={Takeaki Yamazaki and Watcharaporn Cholamjiak and Suthep Suantai}, year={2011} }