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An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings

Open Access
|May 2013

Abstract

In this paper, we introduce an iteration process for approximating common fixed points of two nonself asymptotically nonexpansive map- pings in Banach spaces. Our process contains Mann iteration process and some other processes for nonself mappings but is independent of Ishikawa iteration process. We prove some weak and strong convergence theorems for this iteration process. Our results generalize and improve some results in contemporary literature.

DOI: https://doi.org/10.2478/v10309-012-0002-y | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 15 - 30
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2013 Sezgin Akbulut, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.