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Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings

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Abstract

In this paper, we introduce a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings. Furthermore, we prove that the proposed iterative algorithm converges strongly to a fixed point of a non-expansive mapping in Hilbert spaces.

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Correspondence to Yonghong Yao.

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The first two authors were partially supposed by National Natural Science Foundation of China Grant 10771050.

The third author was partially supposed by the grant NSC 96-2221-E-230-003.

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Yao, Y., Zhou, H. & Liou, YC. Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings. J. Appl. Math. Comput. 29, 383–389 (2009). https://doi.org/10.1007/s12190-008-0139-z

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  • DOI: https://doi.org/10.1007/s12190-008-0139-z

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