Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone

The global error bound estimation for the generalized nonlinear complementarity problem over a closed convex cone (GNCP) is considered. To obtain a global error bound for the GNCP, we first develop an equivalent reformulation of the problem. Based on this, a global error bound for the GNCP is establ...

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Main Authors: Hongchun Sun, Yiju Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/245458
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author Hongchun Sun
Yiju Wang
author_facet Hongchun Sun
Yiju Wang
author_sort Hongchun Sun
collection DOAJ
description The global error bound estimation for the generalized nonlinear complementarity problem over a closed convex cone (GNCP) is considered. To obtain a global error bound for the GNCP, we first develop an equivalent reformulation of the problem. Based on this, a global error bound for the GNCP is established. The results obtained in this paper can be taken as an extension of previously known results.
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institution Kabale University
issn 1110-757X
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publishDate 2012-01-01
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series Journal of Applied Mathematics
spelling doaj-art-6f98f725f89e4106a4970ef9c196f0ef2025-08-20T03:34:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/245458245458Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex ConeHongchun Sun0Yiju Wang1School of Sciences, Linyi University, Shandong, 276005 Linyi, ChinaSchool of Management Science, Qufu Normal University, Shandong, 276800 Rizhao, ChinaThe global error bound estimation for the generalized nonlinear complementarity problem over a closed convex cone (GNCP) is considered. To obtain a global error bound for the GNCP, we first develop an equivalent reformulation of the problem. Based on this, a global error bound for the GNCP is established. The results obtained in this paper can be taken as an extension of previously known results.http://dx.doi.org/10.1155/2012/245458
spellingShingle Hongchun Sun
Yiju Wang
Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone
Journal of Applied Mathematics
title Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone
title_full Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone
title_fullStr Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone
title_full_unstemmed Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone
title_short Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone
title_sort global error bound estimation for the generalized nonlinear complementarity problem over a closed convex cone
url http://dx.doi.org/10.1155/2012/245458
work_keys_str_mv AT hongchunsun globalerrorboundestimationforthegeneralizednonlinearcomplementarityproblemoveraclosedconvexcone
AT yijuwang globalerrorboundestimationforthegeneralizednonlinearcomplementarityproblemoveraclosedconvexcone