Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:286

Article

Sun, ZH

关键词: implicit iteration process;    strong convergence;    finite family of asymptotically quasi-nonexpansive;    mappings;    uniform convexity;    common fixed point;   

DOI  :  10.1016/S0022-247X(03)00537-7

来源: Elsevier

【 摘 要 】

In the present paper, we prove that the modified implicit iteration sequence for a finite family of asymptotically quasi-nonexpansive mappings converges strongly to a common fixed point of the family in a uniformly convex Banach space, requiring one member T in the family to be semi-compact. Our results extend and improve some recent results. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

Free