Conjugate Duality of Set--Valued Functions
Optimization and Control
2014-05-30 v5
Abstract
To a function with values in the power set of a pre--ordered, separated locally convex space a family of scalarizations is given which completely characterizes the original function. A concept of a Legendre--Fenchel conjugate for set-valued functions is introduced and identified with the conjugates of the scalarizations. The concept of conjugation is connected to the notion of --dualities and duality results are provided.
Cite
@article{arxiv.1012.4357,
title = {Conjugate Duality of Set--Valued Functions},
author = {Carola Schrage},
journal= {arXiv preprint arXiv:1012.4357},
year = {2014}
}
Comments
This paper has been withdrawn by the author. Withdrawn. This paper was an early version of arXiv:1011.5860