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Stability of Linear Inequality Systems Measured by the Hausdorff Metric (2000)

Mira, J. A. ; Mora, G.

Springer

Set-valued analysis 8 (2000), S. 253-266

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ISSN: 1572-932X

Keywords: Hausdorff metric ; linear inequality systems ; stability

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper, we propose a Hausdorff metric to measure the “distance” between two linear inequality systems on a real normed space X. For this topology, which comes through a pseudo-metric in the set Σ of linear inequality systems, the closedness of the feasible set mapping is studied, and at the same time a characterization of the stability of the subset Σ c of consistent sytems is given.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1008701026782

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