Abstract subdifferentials and some characterizations of optimal solutions (Q1089608)
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scientific article; zbMATH DE number 4005018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abstract subdifferentials and some characterizations of optimal solutions |
scientific article; zbMATH DE number 4005018 |
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Abstract subdifferentials and some characterizations of optimal solutions (English)
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1988
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We introduce and study the subdifferential of a function at a point, with respect to a primal-dual pair of optimization problems, which encompasses, as particular cases, several known concepts of subdifferential. We give a characterization of optimal solutions of the primal problem, in terms of abstract Lagrangians, and a simultaneous characterization of optimal solutions and strong duality, with the aid of abstract subdifferentials. We give some applications to unperturbational Lagrangian duality and unperturbational surrogate duality.
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primal-dual pair of optimization problems
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abstract Lagrangians
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strong duality
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abstract subdifferentials
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unperturbational Lagrangian duality
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unperturbational surrogate duality
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