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Continuity properties of vector-valued convex functions

Published online by Cambridge University Press:  09 April 2009

L. I. Trudzik
Affiliation:
Department of MathematicsUniversity of MelbourneParkville, Victoria 3052, Australia
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Abstract

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We extend various characterizations of scalar-valued lower semicontinuity and determine their relationship to the continuity of vector-valued convex functions. Order completeness of the range space is not assumed.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1984

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