Abstract
We consider infinite parametric problems and show that the best approximation problems in real normed spaces and the parametric semi-infinite problems can be reformulated as parametric infinite problems. Further we give sufficient conditions for the lower semicontinuity of the optimal set mapping in the linear case.
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References
Bank, B., Guddat, J., Klatte, D., Kummer, B., and Tammer, K., (1983) Non-linear Parametric Optimization (Birkhäuser Verlag, Basel-Boston, Stuttgart).
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© 1984 Springer Basel AG
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da Silva, A.R. (1984). On Parametric Infinite Optimization. In: Brosowski, B., Deutsch, F. (eds) Parametric Optimization and Approximation. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 72. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6253-0_6
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DOI: https://doi.org/10.1007/978-3-0348-6253-0_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6255-4
Online ISBN: 978-3-0348-6253-0
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