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Zbl 1225.47095
Gu, Feng
Some convergence theorems of non-implicit iteration process with errors for a finite families of $I$-asymptotically nonexpansive mappings. (English)
[J] Appl. Math. Comput. 216, No. 1, 161-172 (2010). ISSN 0096-3003

Summary: The purpose of this paper is to study the weak and strong convergence of a non-implicit iteration process with errors to a common fixed point for a finite family of $I$-asymptotically quasi-nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of several authors.

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties

Keywords: $I$-asymptotically nonexpansive mapping; asymptotically nonexpansive mapping; non-implicit iterative sequence with errors for a finite family; common fixed point; Opial condition; demi-closed principle; semi-compactness; weak convergence

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Zentralblatt MATH Berlin [Germany]