Upper semicontinuity of parametric projections |
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| Authors: | Sizwe Mabizela |
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| Institution: | (1) Department of Mathematics and Applied Mathematics, University of Cape Town, 7700 Rondebosch, Republic of South Africa |
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| Abstract: | In this paper we study upper semicontinuity of the metric projection P
 (p)(x) with respect to (x, p), where x is a point in a normed linear space X and (p) is an approximatively compact subset of X depending on a parameter p. An application to parametric spline approximation is given. |
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| Keywords: | 41A65 54C60 |
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