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2010 Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball
Yasunori Kimura
Abstr. Appl. Anal. 2010: 1-11 (2010). DOI: 10.1155/2010/582475

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.

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Yasunori Kimura. "Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball." Abstr. Appl. Anal. 2010 1 - 11, 2010. https://doi.org/10.1155/2010/582475

Information

Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1206.54049
MathSciNet: MR2754196
Digital Object Identifier: 10.1155/2010/582475

Rights: Copyright © 2010 Hindawi

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