Global error bounds for convex multifunctions and applications

Global error bounds for convex multifunctions and applications

0.00 Avg rating0 Votes
Article ID: iaor2004715
Country: United States
Volume: 23
Issue: 2
Start Page Number: 443
End Page Number: 462
Publication Date: May 1998
Journal: Mathematics of Operations Research
Authors: ,
Abstract:

We give some results on the existence of global error bounds for convex multifunctions between normed linear spaces (until the present, only some results on local error bounds have been known in this general setting). As applications we obtain, among others, improvements of a theorem of Robinson on global error bounds for convex inequalities, of a result of Luo and Tseng on uniform boundedness of the Hofman constants for linear inequalities and equalities, and of Lotov's result on pointwise Lipschitz continuity of the solution sets of linear inequalities, with respect to data perturbations.

Reviews

Required fields are marked *. Your email address will not be published.