Proper andisolated efficiencies in multiobjective optimization problems

We employ some advanced tools of variational analysis and generalized differentiation such as the nonsmooth version of Fermat's rule, the limiting subdifferentia! of maximum functions, and the sum rules for the Frechet and Mordukhovich subdiHerentials to establish necessary conditions for (l...

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Tác giả chính:	Thái, Doãn Chương
Định dạng:	Bài viết
Ngôn ngữ:	English
Được phát hành:	Trường Đại học Đà Lạt 2012
Những chủ đề:	Optimality condition Isolated minimizer Ordukhovich subdifferential Multiobjective optimization.
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31063
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-310632023-10-27T14:41:44Z Proper andisolated efficiencies in multiobjective optimization problems Thái, Doãn Chương Optimality condition Isolated minimizer Ordukhovich subdifferential Multiobjective optimization. We employ some advanced tools of variational analysis and generalized differentiation such as the nonsmooth version of Fermat's rule, the limiting subdifferentia! of maximum functions, and the sum rules for the Frechet and Mordukhovich subdiHerentials to establish necessary conditions for (local) properly efficient solutions and (local) isolated minimizers of a multiobjective optimization problem involving inequality and equality constraints. Sufficient conditions for the existence of such solutions are also supplied under assumptions of (local) convex/affine functions or L-invex-infine functions defined in terms of the limiting subdifferential of locally Lipschitz functions. In addition, we propose a type of Wolfe dual problem and explore weak/strong duality relations under L-invexity-infineness hypotheses.Mathematics Subject Classification. 49J40, 49J53, 90C29. 2012-06-18T03:50:09Z 2012-06-18T03:50:09Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31063 en Tạp chí Khoa học Đại học Đà Lạt, số 3a;tr. 23-31 application/pdf Trường Đại học Đà Lạt
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Optimality condition Isolated minimizer Ordukhovich subdifferential Multiobjective optimization.
spellingShingle	Optimality condition Isolated minimizer Ordukhovich subdifferential Multiobjective optimization. Thái, Doãn Chương Proper andisolated efficiencies in multiobjective optimization problems
description	We employ some advanced tools of variational analysis and generalized differentiation such as the nonsmooth version of Fermat's rule, the limiting subdifferentia! of maximum functions, and the sum rules for the Frechet and Mordukhovich subdiHerentials to establish necessary conditions for (local) properly efficient solutions and (local) isolated minimizers of a multiobjective optimization problem involving inequality and equality constraints. Sufficient conditions for the existence of such solutions are also supplied under assumptions of (local) convex/affine functions or L-invex-infine functions defined in terms of the limiting subdifferential of locally Lipschitz functions. In addition, we propose a type of Wolfe dual problem and explore weak/strong duality relations under L-invexity-infineness hypotheses.Mathematics Subject Classification. 49J40, 49J53, 90C29.
format	Article
author	Thái, Doãn Chương
author_facet	Thái, Doãn Chương
author_sort	Thái, Doãn Chương
title	Proper andisolated efficiencies in multiobjective optimization problems
title_short	Proper andisolated efficiencies in multiobjective optimization problems
title_full	Proper andisolated efficiencies in multiobjective optimization problems
title_fullStr	Proper andisolated efficiencies in multiobjective optimization problems
title_full_unstemmed	Proper andisolated efficiencies in multiobjective optimization problems
title_sort	proper andisolated efficiencies in multiobjective optimization problems
publisher	Trường Đại học Đà Lạt
publishDate	2012
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31063
_version_	1781718839783849984

Proper andisolated efficiencies in multiobjective optimization problems

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