 |
|||||||||
| Volume 7, Number 2, August 2006, pp. 211-236 | |||||||||
| M. Laghdir and N. Benkenza | |||||||||
| Key words: | |||||||||
| slice convergence, composed convex functions, stability, convex duality | |||||||||
| Mathematices Subject Classification: 49A55, 90C25 | |||||||||
|
|||||||||
| Volume 7, Number 2, August 2006, pp. 211-236 | |||||||||
| M. Laghdir and N. Benkenza | |||||||||
| Key words: | |||||||||
| slice convergence, composed convex functions, stability, convex duality | |||||||||
| Mathematices Subject Classification: 49A55, 90C25 | |||||||||
|
||||||||||||||||||||||||||||||||||||||||
| Abstract: | |||
| In this work we introduce a concept of slice convergence adapted to mappings taking values in a preorder topological vector space. This convergence will appear to be well appropriate for establishing the slice convergence of composed convex functions. This study is motivated by two applications, the first deals with the slice convergence of the maximum of two convex functions and the second concerns the slice convergence of the primal and dual functionals attached to a convex perturbation functions. | |||
| Slice convergence of composed convex functions | ||