Error analysis of approximate solutions to parametric vector quasiequilibrium problems

Error analysis of approximate solutions to parametric vector quasiequilibrium problems

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Article ID: iaor20111469
Volume: 5
Issue: 1
Start Page Number: 85
End Page Number: 98
Publication Date: Feb 2011
Journal: Optimization Letters
Authors: , , ,
Keywords: error analysis
Abstract:

In this paper, we give some results on error estimates of approximate solutions to parametric vector quasiequilibrium problems in metric linear spaces. Under some special cases, the error estimates are equivalent to Hölder stability or Lipschitz stability of the set‐valued solution map at a given point. An application to variational inequalities is also presented.

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