Photo from academic.microsoft.com
We consider the following DC composite optimization problem (P): where and are proper convex functionals defined on locally convex Hausdorff topological vector spaces X and Y respectively, and h is… Click to show full abstract
We consider the following DC composite optimization problem (P): where and are proper convex functionals defined on locally convex Hausdorff topological vector spaces X and Y respectively, and h is a proper K-convex mapping from X to Y. By using the properties of the epigraph of the conjugate functions, we introduce some new regularity conditions and obtain complete characterizations for weak / strong / stable Fenchel dualities and for zero / stable zero duality gap properties of problem (P).
Keywords:
new regularity;
fenchel dualities;
dualities optimization;
conditions fenchel;
regularity conditions
Journal Title: Optimization
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Optimization
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!