Release Time:2019-03-11  Hits:

Indexed by: Journal Article

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: 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.