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Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces

Journal of Mathematical Analysis and Applications (2002) 267(2) 444-453
DOI: 10.1006/jmaa.2001.7649
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Abstract

In this paper, we suggest and analyze a three-step iterative scheme for asymptotically nonexpansive mappings in Banach spaces. The new iterative scheme includes Ishikawa-type and Mann-type interations as special cases. The results obtained in this paper represent an extension as well as refinement of previous known results. © 2002 Elsevier Science (USA).

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Xu, B., & Noor, M. A. (2002). Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces. Journal of Mathematical Analysis and Applications, 267(2), 444–453. https://doi.org/10.1006/jmaa.2001.7649

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