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Zbl 1162.47053
Temir, Seyit
On the convergence theorems of implicit iteration process for a finite family of $I$-asymptotically nonexpansive mappings. (English)
[J] J. Comput. Appl. Math. 225, No. 2, 398-405 (2009). ISSN 0377-0427

Summary: We consider the weak and strong convergence of implicit iteration process to a common fixed point of $I$-asymptotically nonexpansive mappings. The main results extend to a finite family of $I$-asymptotically nonexpansive mappings in a Banach space.

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: $I$-asymptotically nonexpansive; implicit iteration process; common fixed point; convergence theorems

Cited in: Zbl 1226.47094 Zbl 1220.54034 Zbl 1219.54047 Zbl 1201.47066

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