Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615023 | Journal of Mathematical Analysis and Applications | 2015 | 13 Pages |
Abstract
In this paper we provide new results on even convexity and extend some others to the framework of general topological vector spaces. We first present a characterization of the even convexity of an extended real-valued function at a point. We then establish the links between even convexity and subdifferentiability and the Γ-regularization of a given function. Consequently, we derive a sufficient condition for strong duality fulfillment in convex optimization problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
José Vicente-Pérez, Michel Volle,