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

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  • Yasunori Kimura

    (Toho University)

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.

Suggested Citation

  • Yasunori Kimura, 2016. "A shrinking projection method for nonexpansive mappings with nonsummable errors in a Hadamard space," Annals of Operations Research, Springer, vol. 243(1), pages 89-94, August.
    • Handle: RePEc:spr:annopr:v:243:y:2016:i:1:d:10.1007_s10479-014-1571-0
    DOI: 10.1007/s10479-014-1571-0
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