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Discrete Dynamics in Nature and SocietyVolume 2011 2011, Article ID 487864, 16 pages

Research Article

Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey

Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar

Received 11 October 2010; Accepted 17 February 2011

Academic Editor: Xiaohui Liu

Copyright © 2011 Esref Turkmen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Suppose that is nonempty closed convex subset of a uniformly convex and smooth Banach space with as a sunny nonexpansive retraction and . Let be two weakly inward nonself asymptotically nonexpansive mappings with respect to with two sequences satisfying , respectively. For any given , suppose that is a sequence generated iteratively by , , , where and are sequences in for some . Under some suitable conditions, the strong and weak convergence theorems of to a common fixed point of and are obtained.





Author: Esref Turkmen, Safeer Hussain Khan, and Murat Ozdemir

Source: https://www.hindawi.com/



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