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论文类型：期刊论文

发表时间：2017-09-01

发表刊物：OPERATIONS RESEARCH LETTERS

收录刊物：Scopus、SCIE、EI

卷号：45

期号：5

页面范围：456-460

ISSN号：0167-6377

关键字：Lipschitz error bound; Holder error bound; Variational inequality; Second order cone

摘要：In this paper, error bounds for affine variational inequalities with second-order cone constraints are considered. Examples are given to show that, in general, Lipschitz error bounds may be invalid for affine second-order cone inclusion problems. We provide a sufficient condition (not stronger than Mangasarian-Fromovitz constraint qualification), under which a local Lipschitz error bound is valid for the variational inequality problem. Moreover, under a full row rank assumption, a local HOlder error bound is established for the variational inequality problem and the Wilder exponent is bounded by a function of problem dimensions. (C) 2017 Elsevier B.V. All rights reserved.