Set optimization - a rather short introduction
Optimization and Control
2024-01-26 v2
Abstract
Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set- and vector-valued functions, and duality for set optimization problems. Extensive sections with bibliographical comments summarize the state of the art. Applications to vector optimization and financial risk measures are discussed along with algorithmic approaches to set optimization problems.
Cite
@article{arxiv.1404.5928,
title = {Set optimization - a rather short introduction},
author = {Andreas H. Hamel and Frank Heyde and Andreas Löhne and Birgit Rudloff and Carola Schrage},
journal= {arXiv preprint arXiv:1404.5928},
year = {2024}
}