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

Author

Kimura, Yasunori

Source

Abstract and Applied Analysis

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-01-19

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Kimura, Yasunori. 2011. Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-482590

Modern Language Association (MLA)

Kimura, Yasunori. Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball. Abstract and Applied Analysis No. 2010 (2010), pp.1-11.
https://search.emarefa.net/detail/BIM-482590

American Medical Association (AMA)

Kimura, Yasunori. Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball. Abstract and Applied Analysis. 2011. Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-482590

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-482590