Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings

Demonstratio mathematica

article

Seyit Temir¹ 

[1] Department of Mathematics, Art and Science Faculty, Harran University

关键词: asymptotically nonexpansive mapping;    implicit iteration process;    common fixed point;    convergence theorems;   

DOI  :  10.1515/dema-2013-0480

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

The purpose of this paper is to introduce an implicit iterative process with errors for approximating common fixed point of two finite families of asymptotically nonexpansive mappings in the framework of Banach space. The results presented in this paper extend and generalize the corresponding results of Qin et al. [Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings, Appl. Math. Comp. 210 (2009), 542–550], Thakur [Weak and strong convergence of composite implicit iteration process, Appl. Math. Comp. 190 (2007), 965–973] and some others.

【 授权许可】

CC BY