On the continuity of the kernel of invex functions (Q1916735)
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scientific article; zbMATH DE number 902458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the continuity of the kernel of invex functions |
scientific article; zbMATH DE number 902458 |
Statements
On the continuity of the kernel of invex functions (English)
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5 April 1998
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A differentiable real function is invex on a domain \(C\) if \(f(x)- f(u) \geq\eta(x,u)^T \nabla f(u)\) for all \(x,u\) in \(C\). Examples are given where the kernel \(\eta(.,.)\) is required to be continuous; and sufficient conditions are obtained for a continuous \(\eta\) to exist, or to not exist.
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continuity
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kernel
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invex functions
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