Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces

Fixexd point theory and applications

Shih-sen Chang¹  Jong Kyu Kim²  Liang-cai Zhao³ 

[1] College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, China;Department of Mathematics Education, Kyungnam University, Changwon, Korea;Institute of Mathematics, Yibin University, Yibin, China

关键词: asymptotically nonexpansive mapping;    total asymptotically nonexpansive mapping;    common fixed point;    hyperbolic space;   

DOI  :  10.1186/1687-1812-2013-353

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove some Δ-convergence theorems of the mixed type iteration process to approximating a common fixed point for two asymptotically nonexpansive mappings and two total asymptotically nonexpansive mappings in hyperbolic spaces. The results presented in the paper extend and improve some recent results announced in the current literature. MSC:47H09, 47H10.

【 授权许可】

CC BY