Weak and strong convergence theorems for a finite family of I-asymptotically nonexpansive mappings

作者：Yang, Li-ping^*; Xie, Xiangsheng

来源：Applied Mathematics and Computation, 2010, 216(4): 1057-1064.

DOI：10.1016/j.amc.2010.01.125

• I-asymptotically nonexpansive nonself-mappings
• Common fixed point
• Iteration scheme
• Kadec-Klee property
• Banach spaces

In this paper, a new two-step iterative scheme for a finite family of I-i-asymptotically non-expansive nonself-mappings {T-i}(i-1)(r) is constructed in a uniformly convex Banach space. Weak and strong convergence theorems of this iterative scheme to a common fixed point of {T-i}(i-1)(r) and {I-i}(i-1)(r) are proved in a uniformly convex Banach space. The results of this paper improve and extend the corresponding results of Temir [2].

• 出版日期2010-4-15
• 单位广东工业大学