Strong convergence for three classes of uniformly equi-continuous and asymptotically quasi-nonexpansive mappings

作者：Qin Xiaolong^*; Su Yongfu; Shang Meijuan

来源：Journal of the Korean Mathematical Society, 2008, 45(1): 29-40.

• uniformly convex Banach space
• uniformly Holder continuous
• uniformly equi-continuous
• asymptotically quasi-nonexpansive mapping

In this paper, we introduce a modified three-step iteration scheme with errors for three classes of uniformly equi-continuous and asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. We then use this scheme to approximate a common fixed point of these mappings. The results obtained in this paper extend and improve the recent ones announced by Khan, Fukhar-ud-di, Zhou, Cho, Noor and some others.

• 出版日期2008-1
• 单位石家庄学院; 天津工业大学