The Continuity of Subdifferential Mapping
β Scribed by Jian-Hua Wang; Chao-Xun Nan
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 194 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper we introduce and study the nearly uniformly norm upper semicontinuity for subdifferential mappings. Further we establish the interesting relations between uniform β£ upper semicontinuity and nearly uniformly norm upper semi-Ε½ . continuity. Moreover, we discuss the weakly weak* uniformly upper semicontinuity and give applications in differentiability theory.
π SIMILAR VOLUMES
The approximate subdifferential introduced by Mordukhovich has attracted much attention in recent works on nonsmooth optimization. Potential advantages over other concepts of subdifferentiability might be related to its nonconvexity. This is motivation to study some topological properties more in de