A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems

By using a scalarization technique, we extend and sharpen the results in S. Li and X. Li (2011) on the Hölder continuity of the solution sets of parametric vector equilibrium problems to the case of parametric vector quasiequilibrium problems in metric spaces. Furthermore, we also give an examp...

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Main Author: Xian-Fu Hu
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/367476
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author Xian-Fu Hu
author_facet Xian-Fu Hu
author_sort Xian-Fu Hu
collection DOAJ
description By using a scalarization technique, we extend and sharpen the results in S. Li and X. Li (2011) on the Hölder continuity of the solution sets of parametric vector equilibrium problems to the case of parametric vector quasiequilibrium problems in metric spaces. Furthermore, we also give an example to illustrate that our main results are applicable.
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institution Kabale University
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language English
publishDate 2011-01-01
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spelling doaj-art-922eebb21d9f4650a80e56272ffdd2762025-02-03T01:12:45ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/367476367476A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium ProblemsXian-Fu Hu0School of Information Engineering, Chongqing City Management Vocational College, Chongqing 401331, ChinaBy using a scalarization technique, we extend and sharpen the results in S. Li and X. Li (2011) on the Hölder continuity of the solution sets of parametric vector equilibrium problems to the case of parametric vector quasiequilibrium problems in metric spaces. Furthermore, we also give an example to illustrate that our main results are applicable.http://dx.doi.org/10.1155/2011/367476
spellingShingle Xian-Fu Hu
A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems
Abstract and Applied Analysis
title A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems
title_full A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems
title_fullStr A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems
title_full_unstemmed A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems
title_short A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems
title_sort note on holder continuity of solution set for parametric vector quasiequilibrium problems
url http://dx.doi.org/10.1155/2011/367476
work_keys_str_mv AT xianfuhu anoteonholdercontinuityofsolutionsetforparametricvectorquasiequilibriumproblems
AT xianfuhu noteonholdercontinuityofsolutionsetforparametricvectorquasiequilibriumproblems