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Second order necessary conditions in set constrained di .erentiable vector optimization.
- Source :
- Mathematical Methods of Operations Research; 2003, Vol. 58 Issue 2, p299-317, 19p
- Publication Year :
- 2003
-
Abstract
- We state second order necessary optimality conditions for a vector optimization problem with an arbitrary feasible set and an order in the final space given by a pointed convex cone with nonempty interior. We establish, in finite-dimensional spaces, second order optimality conditions in dual form by means of Lagrange multipliers rules when the feasible set is defined by a function constrained to a set with convex tangent cone. To pass from general conditions to Lagrange multipliers rules, a generalized Motzkin alternative theorem is provided. All the involved functions are assumed to be twice Fréchet differentiable. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14322994
- Volume :
- 58
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Mathematical Methods of Operations Research
- Publication Type :
- Academic Journal
- Accession number :
- 11817298
- Full Text :
- https://doi.org/10.1007/s001860300283