Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces
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Authors
Yunus Purtas
- Banking and Insurance Department, Ahmetli Vocational Higher School, Celal Bayar University, Manisa, Turkey.
Hukmi Kiziltunc
- Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey.
Abstract
In this paper, we prove the weak and strong convergence of an explicit iterative process to a common
fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive
mapping I, defined on a nonempty closed convex subset of a Banach space.
Share and Cite
ISRP Style
Yunus Purtas, Hukmi Kiziltunc, Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 5, 403--411
AMA Style
Purtas Yunus, Kiziltunc Hukmi, Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces. J. Nonlinear Sci. Appl. (2012); 5(5):403--411
Chicago/Turabian Style
Purtas, Yunus, Kiziltunc, Hukmi. "Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces." Journal of Nonlinear Sciences and Applications, 5, no. 5 (2012): 403--411
Keywords
- Asymptotically quasi-I-nonexpansive self-mappings
- explicit iterations
- common fixed point
- uniformly convex Banach space.
MSC
References
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