The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces

Journal of inequalities and applications

Xin-Fang Zhang¹ 

关键词: split common fixed point problem;    asymptotically nonexpansive mapping;    strong convergence;    Hilbert space;    algorithm;   

DOI  :  10.1186/1029-242X-2015-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, an iterative algorithm is introduced to solve the split common fixedpoint problem for asymptotically nonexpansive mappings in Hilbert spaces. Theiterative algorithm presented in this paper is shown to possess strong convergencefor the split common fixed point problem of asymptotically nonexpansive mappingsalthough the mappings do not have semi-compactness. Our results improve and developprevious methods for solving the split common fixed point problem. MSC: 47H09, 47J25.

【 授权许可】

CC BY