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

Yasunori Kimura ()
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Yasunori Kimura: Toho University

Annals of Operations Research, 2016, vol. 243, issue 1, No 7, 89-94

Abstract: 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.

Keywords: Nonexpansive mapping; Fixed point; Shrinking projection method; Iterative scheme; Hadamard space; Real Hilbert ball; Computational error; 47H09 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10479-014-1571-0

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