Sufficient conditions for a minimum of a strongly quasiconvex function on a weakly convex set (Q2113393)
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scientific article; zbMATH DE number 7488477
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient conditions for a minimum of a strongly quasiconvex function on a weakly convex set |
scientific article; zbMATH DE number 7488477 |
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Sufficient conditions for a minimum of a strongly quasiconvex function on a weakly convex set (English)
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14 March 2022
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Sufficient optimality conditions for characterizing the solutions of finite-dimensional optimization problems consisting in minimizing strongly quasiconvex functions over weakly convex sets are provided. The case of the feasible set formulated by means of the Lebesgue set of a weakly convex function is treated separately. When the objective function is also differentiable, sufficient conditions for local optimality are considered as well. An example illustrates the theoretical achievements.
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strongly quasiconvex function
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strongly and weakly convex sets and functions
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subdifferential
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normal cone
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sufficient conditions for minimum
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radius of neighborhood of local minimum
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