How to regularize a difference of convex functions
β Scribed by J.-B Hiriart-Urruty
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 698 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a sequence or net of convex functions on a Banach space. we study pointwise convergence of their Lipschitz regularizations and convergence of their epigraphs. The Lipschitz regularizations we will consider are the infimal convolutions of the functions with appropriate multiples of the norm. For
The concepts of M-convex and L-convex functions were proposed by Murota in 1996 as two mutually conjugate classes of discrete functions over integer lattice points. M/L-convex functions are deeply connected with the well-solvability in nonlinear combinatorial optimization with integer variables. In
## Abstract We first study the minimizers, in the class of convex functions, of an elliptic functional with nonhomogeneous Dirichlet boundary conditions. We prove __C__^1^ regularity of the minimizers under the assumption that the upper envelope of admissible functions is __C__^1^. This condition i