Duality for set-valued multiobjective optimization problems, part 1: Mathematical programming

Duality for set-valued multiobjective optimization problems, part 1: Mathematical programming

0.00 Avg rating0 Votes
Article ID: iaor20091402
Country: Netherlands
Volume: 137
Issue: 1
Start Page Number: 61
End Page Number: 74
Publication Date: Apr 2008
Journal: Journal of Optimization Theory and Applications
Authors:
Keywords: duality
Abstract:

The duality of multiobjective problems is studied with the help of the apparatus of conjugate set-valued mappings introduced by the author. In this paper (Part 1), a duality theory is developed for set-valued mappings, which is then used to derive dual relations for some general multiobjective optimization problems which include convex programming and optimal control problems. Using this result, in the companion paper (Part 2), duality theorems are proved for multiobjective quasilinear and linear optimal control problems. The theory is applied to get dual relations for some multiobjective optimal control problem.

Reviews

Required fields are marked *. Your email address will not be published.