Strong convergence theorems of Cesàro-type means for nonexpansive mapping in CAT(0) space

Fixexd point theory and applications

Shih-sen Chang¹  Jian Dong²  Jinfang Tang² 

[1] College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, China;Department of Mathematics, Yibin University, Yibin, China

关键词: Cesàro-type means method;    CAT(0) space;    fixed point;   

DOI  :  10.1186/s13663-015-0353-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The iterative algorithms with Cesàro-type means for a nonexpansive mapping are proposed in CAT(0) spaces. Under suitable conditions, some strong convergence theorems for the sequence generated by the algorithms to a fixed point of the nonexpansive mapping are proved. We also proved that this fixed point is also a unique solution to some kind of variational inequality. The results presented in this paper extend and improve the corresponding results of some others.

【 授权许可】

CC BY