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Indexed by:期刊论文

Date of Publication:2009-01-01

Journal:International Journal of Pure and Applied Mathematics

Included Journals:Scopus

Volume:51

Issue:1

Page Number:117-123

ISSN No.:13118080

Abstract: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.