Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems
We establish the upper semicontinuity of solution mappings for a class of parametric generalized vector quasiequilibrium problems. As applications, we obtain the upper semicontinuity of solution mappings to several problems, such as parametric optimization problem, parametric saddle point problem, p...
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Language: | English |
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Wiley
2015-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2015/764187 |
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author | Shu-qiang Shan Yu Han Nan-jing Huang |
author_facet | Shu-qiang Shan Yu Han Nan-jing Huang |
author_sort | Shu-qiang Shan |
collection | DOAJ |
description | We establish the upper semicontinuity of solution mappings for a class of parametric generalized vector quasiequilibrium problems. As applications, we obtain the upper semicontinuity of solution mappings to several problems, such as
parametric optimization problem, parametric saddle point problem, parametric Nash equilibria problem, parametric variational inequality, and parametric equilibrium problem. |
format | Article |
id | doaj-art-a56397d033144f04aede63aee273b3da |
institution | Kabale University |
issn | 2314-8896 2314-8888 |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
spelling | doaj-art-a56397d033144f04aede63aee273b3da2025-02-03T06:42:06ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/764187764187Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium ProblemsShu-qiang Shan0Yu Han1Nan-jing Huang2Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaDepartment of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaDepartment of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaWe establish the upper semicontinuity of solution mappings for a class of parametric generalized vector quasiequilibrium problems. As applications, we obtain the upper semicontinuity of solution mappings to several problems, such as parametric optimization problem, parametric saddle point problem, parametric Nash equilibria problem, parametric variational inequality, and parametric equilibrium problem.http://dx.doi.org/10.1155/2015/764187 |
spellingShingle | Shu-qiang Shan Yu Han Nan-jing Huang Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems Journal of Function Spaces |
title | Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems |
title_full | Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems |
title_fullStr | Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems |
title_full_unstemmed | Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems |
title_short | Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems |
title_sort | upper semicontinuity of solution mappings to parametric generalized vector quasiequilibrium problems |
url | http://dx.doi.org/10.1155/2015/764187 |
work_keys_str_mv | AT shuqiangshan uppersemicontinuityofsolutionmappingstoparametricgeneralizedvectorquasiequilibriumproblems AT yuhan uppersemicontinuityofsolutionmappingstoparametricgeneralizedvectorquasiequilibriumproblems AT nanjinghuang uppersemicontinuityofsolutionmappingstoparametricgeneralizedvectorquasiequilibriumproblems |