Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball

Yasunori Kimura

Abstract and Applied Analysis, 2010, vol. 2010, 1-11

Abstract:

We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition by using the notion of metric projections. Applying this result, we also prove a convergence theorem for an iterative scheme by the shrinking projection method in a real Hilbert ball.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:582475

DOI: 10.1155/2010/582475

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