Volume 6, Issue 3 (Vol. 6, No. 3 2020)
mmr 2020, 6(3): 387-392 |
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Khademi A, Soleimani-damaneh M. On necessity of L-stationarity in Nonlinear Optimization with a Sparsity Constraint. mmr 2020; 6 (3) :387-392
URL: http://mmr.khu.ac.ir/article-1-2827-en.html
URL: http://mmr.khu.ac.ir/article-1-2827-en.html
1- , soleimani@khayam.ut.ac.ir
Abstract: (5921 Views)
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
Keywords: Nonlinear programming, Sparsity constrained problems, L-stationarity, Optimality condition
Type of Study: Research Paper |
Subject:
alg
Received: 2018/08/16 | Revised: 2020/12/14 | Accepted: 2019/05/1 | Published: 2020/11/30 | ePublished: 2020/11/30
Received: 2018/08/16 | Revised: 2020/12/14 | Accepted: 2019/05/1 | Published: 2020/11/30 | ePublished: 2020/11/30
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