Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems

An existence result for the solution set of symmetric vector quasi-equilibrium problems that allows for discontinuities is obtained. Moreover, sufficient conditions for the generalized Levitin-Polyak well-posedness of symmetric vector quasi-equilibrium problems are established.

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Main Authors: Kaihong Wang, Wenyan Zhang, Min Fang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/750709
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author Kaihong Wang
Wenyan Zhang
Min Fang
author_facet Kaihong Wang
Wenyan Zhang
Min Fang
author_sort Kaihong Wang
collection DOAJ
description An existence result for the solution set of symmetric vector quasi-equilibrium problems that allows for discontinuities is obtained. Moreover, sufficient conditions for the generalized Levitin-Polyak well-posedness of symmetric vector quasi-equilibrium problems are established.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-8b86dff676964ae48eb35304c3a877e62025-02-03T06:00:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/750709750709Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium ProblemsKaihong Wang0Wenyan Zhang1Min Fang2School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaSchool of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaSchool of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaAn existence result for the solution set of symmetric vector quasi-equilibrium problems that allows for discontinuities is obtained. Moreover, sufficient conditions for the generalized Levitin-Polyak well-posedness of symmetric vector quasi-equilibrium problems are established.http://dx.doi.org/10.1155/2014/750709
spellingShingle Kaihong Wang
Wenyan Zhang
Min Fang
Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
Abstract and Applied Analysis
title Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
title_full Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
title_fullStr Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
title_full_unstemmed Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
title_short Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
title_sort existence and well posedness for symmetric vector quasi equilibrium problems
url http://dx.doi.org/10.1155/2014/750709
work_keys_str_mv AT kaihongwang existenceandwellposednessforsymmetricvectorquasiequilibriumproblems
AT wenyanzhang existenceandwellposednessforsymmetricvectorquasiequilibriumproblems
AT minfang existenceandwellposednessforsymmetricvectorquasiequilibriumproblems