On the convergence of efficient solutions to semi-infinite set-optimization problems (Q6621978)
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scientific article; zbMATH DE number 7929241
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of efficient solutions to semi-infinite set-optimization problems |
scientific article; zbMATH DE number 7929241 |
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On the convergence of efficient solutions to semi-infinite set-optimization problems (English)
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21 October 2024
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In this paper, a semi-infinite set optimization problem is studied, regarding the stability of its efficient solutions under perturbations of both objective and constraint maps. First, it is shown that the constraint map is continuous and compact-valued, under suitable assumptions. Then this result is used to study convergence conditions for the semi-infinite problem.
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semi-infinite set optimization problem
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stability
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efficient solution
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converse property
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domination
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