On constrained set-valued optimization
The set-valued optimization problem minC F(x), G(x)\(-K) 6= ; is considered, where F : Rn Rm and G : Rn Rp are set-valued functions, and C Rm and K Rp are closed convex cones. Two type of solutions, called w-minimizers (weakly efficient points) and i-minimizers (isolated minimizers), are treated. In terms of the Dini set-valued directional derivative first-order necessary conditions for a point to be a w-minimizer, and first-order sufficient conditions for a point to be an i-minimizer are established, both in primal and dual form. Key words: Set-valued optimization, First-order optimality conditions, Dini derivatives.
|Date of creation:||Oct 2007|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.uninsubria.it/uninsubria/facolta/econo.html
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:ins:quaeco:qf0710. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Segreteria Dipartimento)
If references are entirely missing, you can add them using this form.