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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Main Authors: Shu-qiang Shan, Yu Han, Nan-jing Huang
Format: Article
Language:English
Published: Wiley 2015-01-01
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.
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institution Kabale University
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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