Global error bounds for convex multifunctions and applications

• 成果类型: Article
• 署名作者: Li, W; Singer, I
• 署名单位: Old Dominion University; Institute of Mathematics of the Romanian Academy; Romanian Academy
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.23.2.443
• 发表日期: 1998
• 页码: 443-462
• 关键词: metric regularity; descent methods; minimization; CONVERGENCE; openness; Duality; systems

摘要

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 Hoffman 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.