A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone

We revisit the global error bound for the generalized nonlinear complementarity problem over a polyhedral cone (GNCP). By establishing a new equivalent formulation of the GNCP, we establish a sharper global error bound for the GNCP under weaker conditions, which improves the existing error bound est...

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Main Authors: Hongchun Sun, Yiju Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/209340
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author Hongchun Sun
Yiju Wang
author_facet Hongchun Sun
Yiju Wang
author_sort Hongchun Sun
collection DOAJ
description We revisit the global error bound for the generalized nonlinear complementarity problem over a polyhedral cone (GNCP). By establishing a new equivalent formulation of the GNCP, we establish a sharper global error bound for the GNCP under weaker conditions, which improves the existing error bound estimation for the problem.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-29c19c2fa5fb49159e134f8609d4c0f02025-02-03T06:12:44ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/209340209340A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral ConeHongchun Sun0Yiju Wang1School of Science, Linyi University, Linyi, Shandong 276005, ChinaSchool of Management Science, Qufu Normal University, Rizhao, Shandong 276800, ChinaWe revisit the global error bound for the generalized nonlinear complementarity problem over a polyhedral cone (GNCP). By establishing a new equivalent formulation of the GNCP, we establish a sharper global error bound for the GNCP under weaker conditions, which improves the existing error bound estimation for the problem.http://dx.doi.org/10.1155/2013/209340
spellingShingle Hongchun Sun
Yiju Wang
A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone
Abstract and Applied Analysis
title A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone
title_full A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone
title_fullStr A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone
title_full_unstemmed A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone
title_short A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone
title_sort sharper global error bound for the generalized nonlinear complementarity problem over a polyhedral cone
url http://dx.doi.org/10.1155/2013/209340
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