-

 

 

 




Optimization Online





 

On closedness conditions, strong separation, and convex dualit y

Miklos Ujvari(ujvarim***at***cs.elte.hu)

Abstract: In the paper, we describe various applications of the closedness and duality theorems of [7] and [8]. First, the strong separability of a polyhedron and a linear image of a convex set is characterized. Then,it is shown how stability conditions (known from the generalized Fenchel-Rockafellar duality theory) can be reformulated as closedness conditions. Finally, we present a generalized Lagrange duality theorem for Lagrange programs described with cone-convex/cone-polyhedral mappings.

Keywords:

Category 1: Convex and Nonsmooth Optimization (Convex Optimization )

Citation:

Download: [Postscript]

Entry Submitted: 10/13/2009
Entry Accepted: 10/13/2009
Entry Last Modified: 10/13/2009

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society