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An extension of the method of the hypercircle to linear operator problems with unilateral constraints

Published online by Cambridge University Press:  14 November 2011

W. D. Collins
W. D. Collins
Affiliation:
Department of Applied Mathematics and Computing Science, University of Sheffield
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Synopsis

By using a Hilbert space decomposition theorem for two polar cones it is shown that the method of the hypercircle can be extended to determine solutions to best approximation problems involving unilateral constraints. The method is applied to abstract boundary value problems for linear operators involving such constraints.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 85 , Issue 3-4 , 1980 , pp. 173 - 193
Copyright
Copyright © Royal Society of Edinburgh 1980

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