Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces

Volume 5, Issue 5, pp 403--411 http://dx.doi.org/10.22436/jnsa.005.05.09

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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.

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Keywords

• Asymptotically quasi-I-nonexpansive self-mappings
• explicit iterations
• common fixed point
• uniformly convex Banach space.

MSC

•  47H09
•  47H10

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