6533b7dafe1ef96bd126e846
RESEARCH PRODUCT
Quelques thèmes en l'analyse variationnelle et optimisation
Le Hoang Anh Nguyensubject
[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM][ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Analyse variationnelle[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Variational analysisdescription
In this thesis, we first study the theory of [gamma]-limits. Besides some basic properties of [gamma]-limits,expressions of sequential [gamma]-limits generalizing classical results of Greco are presented. These limits also give us a clue to a unified classification of derivatives and tangent cones. Next, we develop an approach to generalized differentiation theory. This allows us to deal with several generalized derivatives of set-valued maps defined directly in primal spaces, such as variational sets, radial sets, radial derivatives, Studniarski derivatives. Finally, we study calculus rules of these derivatives and applications related to optimality conditions and sensitivity analysis.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-02-23 |