Original Article
Kyungpook Mathematical Journal 2014; 54(1): 103-111
Published online March 23, 2014
Copyright © Kyungpook Mathematical Journal.
Approximation of Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces
Gu Zhaohui1, Li Yongjin2
1Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou, 510420, P. R. China
2Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275 P. R. China
Let X be a uniformly convex Banach space, and S; T be pair of mean nonexpansive mappings. Some necessary and sufficient conditions are given for Ishikawa iterative sequence converge to common fixed points, and we prove that the sequence of Ishikawa iterations associated with S and T converges to the common fixed point of S and T. This generalizes former results proved by Z. Gu and Y. Li [4].
Keywords: Pair of mean non-expansive mappings, Ishikawa iteration, Common fixed point