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

Purtas, Yunus¹ ; Kiziltunc, Hukmi²

¹ Banking and Insurance Department, Ahmetli Vocational Higher School, Celal Bayar University, Manisa, Turkey
² Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey

Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 5, p. 403-411.

Résumé

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.

Détail

DOI : 10.22436/jnsa.005.05.09

Classification : 47H09, 47H10
Keywords: Asymptotically quasi-I-nonexpansive self-mappings, explicit iterations, common fixed point, uniformly convex Banach space.

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