Solution analysis for a class of set-inclusive generalized equations: a convex analysis approach
Optimization and Control
2019-04-11 v1
Abstract
In the present paper, classical tools of convex analysis are used to study the solution set to a certain class of set-inclusive generalized equations. A condition for the solution existence and global error bounds is established, in the case the set-valued term appearing in the generalized equation is concave. A functional characterization of the contingent cone to the solution set is provided via directional derivatives. Specializations of these results are also considered when outer prederivatives can be employed.
Cite
@article{arxiv.1904.05296,
title = {Solution analysis for a class of set-inclusive generalized equations: a convex analysis approach},
author = {A. Uderzo},
journal= {arXiv preprint arXiv:1904.05296},
year = {2019}
}