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Limiting Normal Operator in Quasiconvex Analysis.
- Source :
- Set-Valued & Variational Analysis; Dec2015, Vol. 23 Issue 4, p669-685, 17p
- Publication Year :
- 2015
-
Abstract
- Inspired by similar definition in subdifferential theory, we define limiting sublevel set and limiting normal operator maps for quasiconvex functions. These maps satisfy important properties as semicontinuity and quasimonotonicity. Moreover, calculus rules together with necessary and sufficient optimality conditions for constrained optimization are established. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18770533
- Volume :
- 23
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Set-Valued & Variational Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 111241545
- Full Text :
- https://doi.org/10.1007/s11228-015-0349-0