On necessity of L-stationarity in Nonlinear Optimization with a Sparsity Constraint
In this paper, we investigate a necessary optimality condition for a specific problem in nonlinear programming, called sparsity constrained problem. This model involves minimizing a continuously differentiable function over a sparsity constraint. We show that L-stationarity is necessary for optimali...
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2020-11-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-2827-en.html |
| _version_ | 1797871634271436800 |
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| author | Abbas Khademi Majid Soleimani-damaneh |
| author_facet | Abbas Khademi Majid Soleimani-damaneh |
| author_sort | Abbas Khademi |
| collection | DOAJ |
| description | In this paper, we investigate a necessary optimality condition for a specific problem in nonlinear programming, called sparsity constrained problem. This model involves minimizing a continuously differentiable function over a sparsity constraint. We show that L-stationarity is necessary for optimality in sparsity constrained problems in general. This important property has been proved in the literature under Lipschitzness of the gradient mapping../files/site1/files/61/6(1).pdf |
| first_indexed | 2024-04-10T00:46:58Z |
| format | Article |
| id | doaj.art-3409aa824595441da4813ff1c72f8f07 |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:46:58Z |
| publishDate | 2020-11-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-3409aa824595441da4813ff1c72f8f072023-03-13T19:22:11ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542020-11-0163387392On necessity of L-stationarity in Nonlinear Optimization with a Sparsity ConstraintAbbas Khademi0Majid Soleimani-damaneh1 In this paper, we investigate a necessary optimality condition for a specific problem in nonlinear programming, called sparsity constrained problem. This model involves minimizing a continuously differentiable function over a sparsity constraint. We show that L-stationarity is necessary for optimality in sparsity constrained problems in general. This important property has been proved in the literature under Lipschitzness of the gradient mapping../files/site1/files/61/6(1).pdfhttp://mmr.khu.ac.ir/article-1-2827-en.htmlnonlinear programmingsparsity constrained problemsl-stationarityoptimality condition |
| spellingShingle | Abbas Khademi Majid Soleimani-damaneh On necessity of L-stationarity in Nonlinear Optimization with a Sparsity Constraint پژوهشهای ریاضی nonlinear programming sparsity constrained problems l-stationarity optimality condition |
| title | On necessity of L-stationarity in Nonlinear Optimization with a Sparsity Constraint |
| title_full | On necessity of L-stationarity in Nonlinear Optimization with a Sparsity Constraint |
| title_fullStr | On necessity of L-stationarity in Nonlinear Optimization with a Sparsity Constraint |
| title_full_unstemmed | On necessity of L-stationarity in Nonlinear Optimization with a Sparsity Constraint |
| title_short | On necessity of L-stationarity in Nonlinear Optimization with a Sparsity Constraint |
| title_sort | on necessity of l stationarity in nonlinear optimization with a sparsity constraint |
| topic | nonlinear programming sparsity constrained problems l-stationarity optimality condition |
| url | http://mmr.khu.ac.ir/article-1-2827-en.html |
| work_keys_str_mv | AT abbaskhademi onnecessityoflstationarityinnonlinearoptimizationwithasparsityconstraint AT majidsoleimanidamaneh onnecessityoflstationarityinnonlinearoptimizationwithasparsityconstraint |