| Convergence theorems of two-step implicit iterative process with errors for a finite family of asymptotically nonexpansive mappings |
| Gurucharan Singh Saluja |
Abstract The objective of this paper is to study the weak and strong convergence of two-step implicit iteration process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of Chang and Cho (2003), Xu and Ori (2001), Zhou and Chang (2002) and Gu and Lu (2006).
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Keywords: Asymptotically nonexpansive mapping; implicit iteration process with errors; common fixed point; strong convergence; weak convergence. |
MSC: 47H09, 47H10 |
Pages: 285$-$298 |
Volume 65 , Issue 3 , 2013 |
