Lower Envelopes and Steepest Descent Directions in Vector Optimization
Functional Analysis
2011-08-10 v1 Optimization and Control
Abstract
The purpose of the paper is to give a complete characterization of the continuity of lower envelopes in the infinite dimensional spaces in terms of the notion of c-regularity. As an application we introduce a variational unconstrained vector optimization problem for smooth functions and characterize when the variational steepest descent directions are continuous in terms of the generating sets which are considered.
Cite
@article{arxiv.1108.1969,
title = {Lower Envelopes and Steepest Descent Directions in Vector Optimization},
author = {Nihat Gokhan Gogus},
journal= {arXiv preprint arXiv:1108.1969},
year = {2011}
}
Comments
12 pages