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论文类型：期刊论文

发表时间：2009-01-01

发表刊物：International Journal of Pure and Applied Mathematics

收录刊物：Scopus

卷号：51

期号：1

页面范围：117-123

ISSN号：13118080

摘要：The analysis of the W-Lagrangian function and its minimum set is critical for giving the vu-theory of the proper convex function. Based on that, this paper studies the u-Lagrangian of the proper convex function. We analyze the properties of the u-Lagrangian and give the expression of its subdifferential. Also, we demonstrate the sufficient condition for the nonempty of the minimum set. Furthermore, we prove the minimum set is outer semicontinuity. ? 2009 Academic Publications.