We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Second order necessary conditions in set constrained di .erentiable vector optimization.
- Authors
Jiménez, Bienvenido; Novo, Vicente
- 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.
- Subjects
LAGRANGE (Ga.); UNITED States; MATHEMATICAL optimization; MAXIMA &; minima; MATHEMATICAL analysis; MATHEMATICS; LAGRANGE problem; MATHEMATICAL functions
- Publication
Mathematical Methods of Operations Research, 2003, Vol 58, Issue 2, p299
- ISSN
1432-2994
- Publication type
Article
- DOI
10.1007/s001860300283