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Strong convergence theorems for strict pseudo-contractions in Hilbert spaces

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Abstract

In this paper, we suggest and analyze some iterative algorithms for strict pseudo-contractions in the sense of Browder-Petryshyn in a real Hilbert space. We prove that the proposed iterative algorithms converge strongly to some fixed point of a strict pseudo-contraction.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

    Yonghong Yao & Rudong Chen

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  1. Yonghong Yao
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  2. Rudong Chen
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Correspondence to Yonghong Yao.

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Yao, Y., Chen, R. Strong convergence theorems for strict pseudo-contractions in Hilbert spaces. J. Appl. Math. Comput. 32, 69–82 (2010). https://doi.org/10.1007/s12190-009-0233-x

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  • DOI: https://doi.org/10.1007/s12190-009-0233-x

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