Multiplier rules under mixed assumptions of differentiability and Lipschitz continuity (Q2706159)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplier rules under mixed assumptions of differentiability and Lipschitz continuity |
scientific article |
Statements
19 March 2001
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necessary optimality conditions
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subdifferentials
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constraint qualifications
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Multiplier rules under mixed assumptions of differentiability and Lipschitz continuity (English)
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The author studies the problem of minimizing a functional on a Banach space under equality, inequality and abstract constraints. Some of the constraint functions are assumed to be Fréchet differentiable and others are assumed to be Lipschitz continuous. A Fritz John necessary optimality condition is established involving Michel-Penot subdifferentials for the nonsmooth constraint functions. Under various constraint qualifications, Karush-Kuhn-Tucker conditions are also derived.
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