Convergence theorems of two-step implicit iterative process with errors for a finite family of asymptotically nonexpansive mappings

Authors

  • Gurucharan Singh Saluja Department of Mathematics and Information Technology, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), India Author

Keywords:

Asymptotically nonexpansive mapping, implicit iteration process with errors, common fixed point, strong convergence, weak convergence

Subjects:

47H09, 47H10

Abstract

The objective of this paper is to study the weak and strongconvergence of two-step implicit iteration process with errors toa common fixed point for a finite family of asymptoticallynonexpansive mappings in Banach spaces. The results presented inthis paper extend and improve the corresponding results of Changand Cho (2003), Xu and Ori (2001), Zhou and Chang (2002) and Guand Lu (2006).

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Published

2013-07-15

Issue

Vol. 65 No. 3 (2013): Vol. 65, Issue 3

Section

Articles

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