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A shrinking projection method for nonexpansive mappings with nonsummable errors in a Hadamard space

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Abstract

We consider the shrinking projection method with errors on a complete geodesic space having a nonpositive curvature. The result shows that the iterative scheme still has the convergent property even if errors occur when we computes the values of metric projections. We do not assume any summability conditions of the error terms for this result.

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Acknowledgments

The author is supported by Grant-in-Aid for Scientific Research No. 22540175 from Japan Society for the Promotion of Science.

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  1. Department of Information Science, Toho University, Miyama, Funabashi, Chiba , 274-8510, Japan

    Yasunori Kimura

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  1. Yasunori Kimura
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Correspondence to Yasunori Kimura.

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Kimura, Y. A shrinking projection method for nonexpansive mappings with nonsummable errors in a Hadamard space. Ann Oper Res 243, 89–94 (2016). https://doi.org/10.1007/s10479-014-1571-0

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  • DOI: https://doi.org/10.1007/s10479-014-1571-0

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