On a global error bound for a class of monotone affine variational inequality problems

1992 ◽  
Vol 11 (3) ◽  
pp. 159-165 ◽  
Author(s):  
Zhi-Quan Luo ◽  
Paul Tseng
Keyword(s):  
Variational Inequality ◽  
Error Bound ◽  
Variational Inequality Problems ◽  
Global Error ◽  
Global Error Bound ◽  
Affine Variational Inequality

A New Type of Algorithm for the Variational Inequalities on Supply Chain Economic Equilibrium Model

2011 ◽  
Vol 267 ◽  
pp. 344-349
Author(s):  
Lei Wang
Keyword(s):  
Supply Chain ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Error Bound ◽  
Equilibrium Model ◽  
Global Error ◽  
Network Equilibrium ◽  
Supply Chain Network ◽  
Global Error Bound ◽  
New Type

In this paper, we consider an algorithm for variational inequality(VI) problem on the supply chain network equilibrium model, which is established by Dong et al.. To this end, we first develop a global error bound for VI, which can be taken as an extension of the existing global error bound for VI, then present the convergence analysis of the method for solving the variational inequalities, and the convergence rate are also given under same conditions.

scholarly journals An Improvement of Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Hongchun Sun ◽  
Yiju Wang ◽  
Houchun Zhou ◽  
Shengjie Li
Keyword(s):  
Error Bound ◽  
Complementarity Problem ◽  
Nonlinear Complementarity Problem ◽  
Polyhedral Cone ◽  
Global Error ◽  
New Technique ◽  
Global Error Bound ◽  
Nonlinear Complementarity ◽  
A New Technique ◽  
Weaker Conditions

We consider the global error bound for the generalized nonlinear complementarity problem over a polyhedral cone (GNCP). By a new technique, we establish an easier computed global error bound for the GNCP under weaker conditions, which improves the result obtained by Sun and Wang (2013) for GNCP.

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

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Hongchun Sun ◽  
Yiju Wang
Keyword(s):  
Error Bound ◽  
Complementarity Problem ◽  
Nonlinear Complementarity Problem ◽  
Polyhedral Cone ◽  
Global Error ◽  
Global Error Bound ◽  
Equivalent Formulation ◽  
Nonlinear Complementarity ◽  
Weaker Conditions ◽  
Bound Estimation

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.

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