A minimax theorem for marginally upper/lower semicontinuous functions (Q1909708)
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scientific article; zbMATH DE number 856949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A minimax theorem for marginally upper/lower semicontinuous functions |
scientific article; zbMATH DE number 856949 |
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A minimax theorem for marginally upper/lower semicontinuous functions (English)
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6 April 1997
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The aim of this short paper is to give an improvement of the Sion's minimax theorem in the framework of finite-dimensional spaces by introducing the notion of marginally upper semicontinuous/lower semicontinuous functions. Two examples of such functions are given. The proof is based upon some results involving lower semicontinuous multifunctions.
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Sion's minimax theorem
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upper semicontinuous
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lower semicontinuous
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multifunctions
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