A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem

This paper gives sufficient conditions for the upper and lower semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem with moving cones. We use a new scalarizing approach quite different from traditional linear scalarization approaches. The main tool of this pap...

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Những tác giả chính: Phạm, Hữu Sách, Lê, Anh Tuấn
Định dạng: Bài viết
Ngôn ngữ:English
Được phát hành: Trường Đại học Đà Lạt 2014
Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37436
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spelling oai:scholar.dlu.edu.vn:DLU123456789-374362023-10-27T14:41:53Z A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem Phạm, Hữu Sách Lê, Anh Tuấn This paper gives sufficient conditions for the upper and lower semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem with moving cones. We use a new scalarizing approach quite different from traditional linear scalarization approaches. The main tool of this paper is a new notion of nonlinear scalarization function which is a generalized version of the Gerstewitz function applied to set-valued maps. 2014-05-29T02:49:57Z 2014-05-29T02:49:57Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37436 en Tạp chí Khoa học Đại học Đà Lạt, số 3b;tr. 62-66 application/pdf Trường Đại học Đà Lạt
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
description This paper gives sufficient conditions for the upper and lower semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem with moving cones. We use a new scalarizing approach quite different from traditional linear scalarization approaches. The main tool of this paper is a new notion of nonlinear scalarization function which is a generalized version of the Gerstewitz function applied to set-valued maps.
format Article
author Phạm, Hữu Sách
Lê, Anh Tuấn
spellingShingle Phạm, Hữu Sách
Lê, Anh Tuấn
A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem
author_facet Phạm, Hữu Sách
Lê, Anh Tuấn
author_sort Phạm, Hữu Sách
title A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem
title_short A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem
title_full A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem
title_fullStr A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem
title_full_unstemmed A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem
title_sort new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem
publisher Trường Đại học Đà Lạt
publishDate 2014
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37436
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